OH, your resident state, taxes all of your income. You will owe tax to KY for any wages earned while working in KY. However, OH will give you credit for any tax paid to KY, so you are not double taxed. Is your employer withholding KY tax? That is why you have to file the nonresident return. You can have your employer withhold OH tax instead.
You should complete 42A809 and give it to your KY employer. KY has a reciprocal agreement with OH, so your employer will withhold OH tax if you give them that form, and you won't need to file any more KY returns. @smac77
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