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I paid state and local tax on that money before money put in my 401k
No. If handled as a roll over on the federal return, and not taxed, it will not transfer to the Ohio return as taxable income.
When you entered the 1099-R, with the withholding in boxes 4,12 & 15, the withheld tax will be credited to you state and School District (local) return and be refunded to you.
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