Doc Aurlock doesn't work with non-plot exile.
Doc Aurlock, Grizzled Genius states "Spells you cast from your graveyard or from exile cost 2 less to cast." Note, this does not distinguish anything about ownership of cards in exile it simply states cast from exile. However, this effect does not apply to any cards you may cast that are exiled from opponent's decks despite them meeting the listed criteria.
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Ceadeus#62189
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