Did Elladan and Elrohir leave Middle-earth or stay?

[Alcuin]

I’ve waited three months. Along the way, after others had voted, I voted, too.

I am with Olmer on this subject.

Originally Posted by Olmer

The choice [of Elrond’s children wa]s not indefinite. They stay Elves while Elrond stays with them. They have to make a decision at the time of his departure – to go with him and become … Elves, or to stay behind and accept the “gift of God for … Mankind”. The same with their sister Arwen, she lost her immortality with her father[’s] departure.

I think Celeborn’s departure from Lórien and settlement in Rivendell was to be with his grandsons until they died; after that, he also departed Middle-earth to rejoin Galadriel in the Uttermost West. Although Tolkien says in Letter 153 that

The end of [Elrond’s] sons, Elladan and Elrohir, is not told: they delay their choice, and remain for a while

I think that the implication from other statements makes it clear that they chose to remain with the Dúnedain of Arnor whom they came to love.