As PA and NJ are reciprocal states, both W-2s should have had only NJ state tax withheld (and Philly nonresident tax for one W-2). If you had PA tax withheld in error, you can use your refund from PA to help cover your NJ tax.
If they are not taking out NJ taxes, as Amy said in her above response, it is very important that you give Rev-419 to your employer. If you are a New Jersey resident and your employer withheld Pennsylvania income tax from wages, you must file a Pennsylvania return to get a refund.
To stop the withholding of Pennsylvania income tax, complete Form REV-419EX Employee’s Nonwithholding Application Certificate, and give it to your employer. More information is available on the Pennsylvania Department of Revenue website or by calling 1-717-787-8201.
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