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Of the Three Rings that the Elves had preserved unsullied no open word was ever spoken among the Wise, and few even of the Eldar knew where they were bestowed. Yet after the fall of Sauron their power was ever at work, and where they abode there mirth also dwelt and all things were unstained by the griefs of time. Therefore ere the Third Age was ended the Elves perceived that the Ring of Sapphire was with Elrond, in the fair valley of Rivendell, upon whose house the stars of heaven most brightly shone; whereas the Ring of Adamant was in the Land of Lórien where dwelt the Lady Galadriel. A queen she was of the woodland Elves, the wife of Celeborn of Doriath, yet she herself was of the Noldor and remembered the Day before days in Valinor, and she was the mightiest and fairest of all the Elves that remained in Middle-earth. But the Red Ring remained hidden until the end, and none save Elrond and Galadriel and Cirdan knew to whom it had been committed.
Thus it was that in two domains the bliss and beauty of the Elves remained still undiminished while that Age endured: in Imladris; and in Lothlórien, the hidden land between Celebrant and Anduin, where the trees bore flowers of gold and no Orc or evil thing dared ever come. Yet many voices were heard among the Elves foreboding that, if Sauron should come again, then either he would find the Ruling Ring that was lost, or at the best his enemies would discover it and destroy it; but in either chance the powers of the Three must then fail and all things maintained by them must fade, and so the Elves should pass into the twilight and the Dominion of Men begin. And so indeed it has since befallen: the One and the Seven and the Nine are destroyed; and the Three have passed away, and with them the Third Age is ended, and the Tales of the Eldar in Middle-earth draw to then-close.
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J.R.R. Tolkien (The Silmarillion)