If your State return has been accepted, you would have to check your states website for the status of your state refund.
How do I track my state refund?
https://ttlc.intuit.com/replies/3300211
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If you e-filed you can also check to make sure your return was accepted.
How do I check my e-file status?
https://ttlc.intuit.com/replies/3319882