Your W-2 form for the work you did in New Jersey should list PA in box 15, in which case your income and tax withheld for your New Jersey work woud be paid to Pennsylvania and listed on your Pennsylvania tax return. If box 15 lists NJ, then your income was reported to New Jersey and tax withheld was paid in there and you will need to file a tax return there to get a refund of the taxes you paid. You will need to report your New Jersey income as being earned in Pennsylvania and pay tax there but get a refund of the taxes you paid to New Jersey.
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