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No not possible to renew, however According to the Discover Qatar website, those with an expired QID while they have been outside Qatar may be permitted to re-enter Qatar to renew their QID after getting an Exceptional Entry Permit and successfully completing the mandatory quarantine period.
There is some grace period and small fine with the expired RP.
I don't think so. But check with the passport & immigration people by paying a visit to their office and asking them.