Arwen reciprocated Aragorn's love, and on the mound of Cerin Amroth they committed themselves to marrying each other. In making that choice, Arwen gave up the Elvish immortality available to her as a daughter of Elrond, and agreed to remain in
Because Arwen is Elrond's daughter and also Half-Elf, she too has the choice to be a mortal woman or an immortal Elf. In Arwen's mind, there is nothing that can separate her from Aragorn, as she would rather die happy with him than regret her decision to leave him for all of eternity.
At this point Arwen has already given up her immortality, but now she grants the grace of the Eldar to Frodo, not giving him immortality since he is not one of the elves, but instead granting him a home in the undying lands when he does pass.
Elves are immortal but can be killed in battle, in which case they go to the Halls of Mandos in Aman. They may be restored by the Will of the Valar, and then go to live with the Valar in Valinor, like an Earthly Paradise, though just being in the place does not confer immortality, as Men supposed.
But all the Elves had 'the life of the Eldar', so they were protected. Once Arwen renounced her immortality, 'the life of the Eldar left her' as Elrond said. So she was affected even more. And began to die.
However, he does not possess the ability to live forever, and he cannot choose to be mortal or immortal like Arwen, the half-Elf he loves and eventually claims as his wife. Because Aragorn is mortal and Arwen chose to remain in Gondor and become mortal, their son, Eldarion, is mortal as well, despite his Elven lineage.
The Tale of Aragorn and Arwen, an appendix to the main story, relates that Aragorn and Arwen had a son, Eldarion, and at least two unnamed daughters. One year after Aragorn's death, Arwen dies at the age of 2,901.
Princess Arwen Evenstar gave her beautiful necklace to Aragon to pledge her eternal love to him. This special gift from an immortal elf to a mortal man symbolized Arwen's decision to forsake her immortality to be with the person she truly loves.
Arwen chooses to be a mortal like her uncle Elros. So yes, she will die eventually. But as she is descended from half elven people, her life may yet be much longer than Aragorn's which will suck according to Elrond.
Average Elven Lifespan
Elves have the ability to live forever thanks to their immortality. Elves like Elrond, who was over 6000 years old in The Lord of the Rings, are not hard to come by.
And after their marriage, both Aragorn and Arwen are mortal. Arwen, therefore, could not set foot in the Undying Lands without special permission. And she wouldn't be likely to go after it in the end. So unfortunately, she would not go there, unlike Legolas, after Aragorn's passing.
Aragorn led the forces of the Reunited Kingdom on military campaigns against some Easterlings and Haradrim, re-establishing rule over much territory that Gondor had lost in previous centuries. He died at the age of 210, after 122 years as king.
At the end of The Lord of the Rings, Frodo sets sail for the Undying Lands, which implies that he will live in peace and harmony for all eternity. This is where the immortal Elves come from (most recently) and where they return to when they find that their work in Middle-earth is done.
Partially this was due to the unique situation of their ancestry: because of the complications of being descendants of marriages between mortals and immortals, Elrond and his brother Elros were given the choice of their own fates, to be mortal with humanity or immortal with the elves.
Arwen didn't want Aragorn to die, because if he died so would she. She said she wasn't tired of living yet. But instead, Aragorn chose to die and Arwen lived a year longer before dying herself.
the Evenstar, a jewel which Arwen gives to her love Aragorn; invented for The Lord of the Rings film series directed by Peter Jackson.
Legolas is an elf, so he is immortal. However, he is only immortal in the sense that he will never die of old age or sickness. He can die in battle.
After the demise of Sauron, Éowyn and Faramir marry and settle in Ithilien, of which Faramir is made the ruling Prince by Aragorn. Faramir and Éowyn have a son, Elboron.
When they meet, Arwen is thousands of years old with immortal beauty and he a young 20-something man. However, next time they meet, Aragorn is in his 50s. This was when Arwen fell in love with him, so his 30 years of maturing must have done some good.
When she refuses to go to the Grey Lands and returns back to Rivendell, she begins to die almost instantly. Elrond tells Aragorn her fate is now tied to the ring.
Though Elrond held Aragorn in high regard, he didn't want Arwen to marry him. He didn't want his beautiful daughter to give up her immortality for a mortal, but that's exactly what Arwen did. At the end of Return of the King, they were married and began ruling over Gondor.
Of course, Arwen's marriage also means she officially becomes the queen of the reunited realms of Gondor and Arnor. Practically overnight, this makes her the most powerful woman in all of Middle-earth. As queen, she helps Aragorn rule their kingdom for a 120 years.
Legolas does not marry or have any children, based on the appendix of The Lord of the Rings. Regardless of who his mother was, Legolas is the last of his line. When he sails into the West at the beginning of the Fourth Age, he leaves no family members behind.
She has a vision of a child clothed in white running across her path. She watches as the boy runs with his arms outstretched to his father, an aged Aragorn, who picks him up with joy and kisses him. As the boy looks at her and she sees he is wearing the Evenstar, she knows the boy to be her child.
She was captured and tormented, receiving a poisoned wound. Her sons rescued her and she was physically healed by Elrond, but never fully recovered in mind or spirit, and no longer wished to stay in Middle-earth. She left for the Grey Havens and passed over the Great Sea the following year.