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In option A ("The chef and the artist's passion"), the possessive form is correctly used for both the chef and the artist. In option B ("The chef’s and the artist's passions"), the possessive form is again correctly used for both the chef and the artist, but it uses the plural form "passions" to indicate that each of them has their own passions. Option C ("The chef and artist’s passion") Here, THE is not used before ‘artist’ showing that the same person is CHEF as well as ARTIST, but the original sentence uses THEM, showing that two different people are being referred to here.
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