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Just filed my 2022 taxes. The Detroit City Tax was included on the Michigan State tax return (on separate forms). I'm due a refund from Detroit. Will a check automatically arrive in the mail? 

 

I was due a refund for federal and entered my direct deposit info, I owed for Michigan and entered my direct withdrawal info, but nothing for Detroit. I' guessing the State of Michigan e-file systems extracts the overpayment information and will mail a check to me?