The eye in itself never left the tower, but Sauron must have, or rather did, because he was the necromancer of Dol Guldor for a long time. This is the only time to my knowledge that Sauron left Barad Dur during the war of the Ring or the time around it. Please correct me if im wrong in this.
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Walking to Rivendell: 130 miles. tiring it is too precious....
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