About Link you're right, but about Zelda not. Yes she is the 7th sage but she's different than the other 6. Zelda needs to stay in Hyrule to rule the land. The king is dead, queen I assume she's dead since we never hear from her. So who's going to rule Hyrule? Zelda, that's who. Also it's obvious because she and link meet again at the endmovie from Oot. She does not remain as a sage, and if she does it's only the future Hyrule, not the one where she's young.

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