Your state and federal returns are processed separately so you can receive one before the other. IRS anticipates most taxpayers will receive their federal refund within 21 days of when they file electronically, with direct deposit, if there are no issues with their return. Since your tax refund is taking longer than the typical 21 days to receive, see this Turbo Tax FAQ regarding What to do if it's been over 21 days.
See the video in this link for a really good explanation of the process:
https://www.refundschedule.com/irs-wheres-refund-status-bars-disappeared/
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