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2 queries asking the same, give different answers
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I can't see any obvious reason why Q3 should ever return a value larger than Q2. 

As such, I wonder if the issue is caused by database corruption. In particular, if Q3 uses an index for the search, but Q1/Q2 don't (or vice versa), then a corrupted index could be the culprit.

As a test, I'd suggest running the following command:

PRAGMA integrity_check;

If it returns a single row with the value "ok", then no corruption was detected. However, if it returns anything else, then it indicates that there is database corruption, and might explain the issue.