The IRS states that they issue most refunds in less than 21 calendar days from the date the return was accepted by the IRS. This is in a normal year and is a target only--not a guarantee. The IRS has had extra work lately distributing the first and second stimulus checks in addition to processing returns. This might account for your state refund arriving before the federal.
You can check the status of your refund by going to the IRS Refunds page. You can click on the Check My Refund Status link or download the IRS2Go app for your mobile device. Wait at least 24 hours after your return has been accepted.
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