If the SSN verification tool reports an SSN as "Valid" or "Active", it means the SSN has likely been issued by the state reported, and it has not been reported to the Social Security Death Index or SSN benefits were not paid.
If the SSN reports back as invalid the most likely explanation is that either the SSN is very new or the state has not reported it as issued and/or it was found in the Social Security Death Index and SSN benefits have been paid.
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