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if your wife (assuming you were married on 12/31/2023) agrees to file a joint return with you, then the parents can not claim her. your wife's decision is superior to their wish. The other question is whether she even qualifies as a dependent.  MFS is generally the worst way to file, but without info there is no way for sure.

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they can claim her provided the following tests are met and she does not agree to file a joint return with you.

She could be claimed as a qualifying child if all these tests are met:
• She had the same principal abode as her parents for more than ½ the tax year. Temporary absences  are ignored
• If not a full-time student (any part of any 5 months – in a letter ruling the IRS allowed the month the student registered even though classes didn’t start until the next month), she's under 19 at the end of the tax year. If a full-time student she's under 24 at the end of the tax year.
• she hasn't provided over ½ her support

Or she could be a qualifying relative if all these tests are met:
• her gross income for 2023 was less than $4,700
• the parents provided over ½ her support
• she isn't a qualifying child 

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To delete a tax return on TurboTax and start over, you need to
Open your browser and Sign In to your TurboTax account.
Open your return.
Click on Tax Tools > Clear & Start Over.
To erase your return, click Yes.