I think the Three Elven rings had remained pure because Sauron never posessed them. When the fellowship entered Lothlorien time flowed at a different rate. That was why the stars seemed different to them when they left. They were called the Rings of Power, therefore they all must have posessed some powers that Sauron wanted to control.
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By the starlit mere of Cuivienen, they rose from the sleep of Iluvatar
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