Greetings, Sauron_the_Abhorred! Wlcome to the 'Downs.
Lorien and Rivendell continued to exist geographically after the Ring was destroyed. Arwen went back to Lorien (at least, where it was - there were no more elves there by that time) after King Elessar died. The "passing away" of Lorien and Rivendell did occur gradually, not as an instant extinguishing when the Ring was destroyed.
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The only thing necessary for the triumph of evil is for good men to do nothing.
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