TurboTax does not pay your state tax and it cannot be withheld from your federal refund. If you entered bank account or credit card payment information for your state tax due, you would look at your credit card statements or bank account statements from that period of time to see if the payment was withdrawn. Only the state can initiate the payment of tax from your accounts. TurboTax has no way of knowing if your tax payment was withdrawn from your accounts or paid with a credit card. Your return itself may have been rejected or, if mailed, never received. You can contact support for help in locating your 2014 return.
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