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Unlikely.
It is unlikely that the Lab test will test positive for the Lortab (Hyrdrocodone)
And yes you are right most of the standard 5 panel tests (for job screening) do not look for Hydrocodone or its metabolites. Moreover 10 tablets over 3 months might come under the threshold level of positivity (although in hair tests it cannot be said for sure). And the home test kits have decent sensitivity (means less false negative tests) .
Putting all these factors together the lab most likely will be negative.
Hope this helps
Thank you
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