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Did you e-file your tax return and was it accepted?
Only the IRS and your State control when and if a Federal or State tax refund is Approved and Issued.

You complete your tax return by finishing all 3 Steps in the File section. In Step 3, to e-file your tax return, you must click on the large Orange button labeled "Transmit my returns now".

After completing the File section and e-filing your tax return you will receive two emails from TurboTax. The first email when your tax return was transmitted and the second email when the tax return has either been accepted or rejected.

To check the status of an e-filed return, open up your desktop product or log into your TurboTax Online Account. You can find your status within the TurboTax product.
If accepted by the IRS use the federal tax refund website to check the refund status - https://www.irs.gov/refunds
If accepted by the state use this TurboTax support FAQ to check the state tax refund status - https://ttlc.intuit.com/questions/1899433-how-do-i-track-my-state-refund

After the tax return has been Accepted by the IRS (meaning only that they received the return) it will be in the Processing mode until the tax refund has been Approved and then an Issue Date will be available on the IRS website.
See this IRS website for federal tax refund FAQ's - https://www.irs.gov/refunds/tax-season-refund-frequently-asked-questions

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**NOTE*** Due to the Corona virus the IRS is operating short staffed. All field offices are closed and some processing centers are all but closed. Any tax return that requires hand processing will probably have long delays. Mailed returns are not being processed at all at this time. Most phone service has been curtailed.
https://www.irs.gov/newsroom/irs-operations-during-covid-19-mission-critical-functions-continue
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TurboTax only gives the general IRS (most returns are processed within 21 days) date. The actual date is known only by the IRS. TurboTax also does not adjust the general date for anything on the tax return. TurboTax receives no feedback from the IRS after filing.

The IRS says most refunds will be issued within 21 days - some faster, some longer.

Each tax return is evaluated on it's own merits. There is no first-in-first-out. Two similar tax return submitted at the same time can have totally different processing times based on IRS criteria for examining tax returns that the IRS does not divulge.

Some returns will be held for ID verification or other verification. The IRS will send a letter if they require more information to process your tax return.

https://www.irs.gov/individuals/refund-timing

Check your refund stratus here:
https://www.irs.gov/refunds

Check your state refund here:
https://ttlc.intuit.com/questions/1899433-how-do-i-track-my-state-refund