Usually it takes the IRS 24-48 hours to accept a tax return, but can sometimes take longer in peak season.
For more information on their process, please see this TurboTax Tax Tips Guide: Where's My Tax Refund? The IRS Refund Timetable Explained
You can check your filing status by following these instructions: TurboTax Tools: Where's my Refund?
You can also use the IRS tool Where's My Refund to check if your e-filed return has been received.
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