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To correct the sentence "My husbands' parents recently announced that they have become vegans," you need to change "husbands'" to "husband's." The correct possessive form is "husband's" because it indicates that it belongs to one husband.
Therefore, the corrected sentence should read: "My husband's parents recently announced that they have become vegans."
By making this correction, you ensure that the possessive form is accurate and grammatically correct. If you have any more questions or need further clarification, feel free to ask!