Being vaccinated does not mean a person exposed to the virus will not test positive via PCR test.
Vaccines do not stop viruses from going in to the body.
It stops the virus from being able to infect cells and cause the disease and ability to transmit the disease due to immune neutralization of the virus.
But it does not keep the virus from entering the body normally and if present will confer a positive PCR test while being unable to cause disease or transmit disease.
That said, this could also be false positive.
This is not like a flu vaccine or normal vaccine. It does not work like a usual vaccine. Please read up on this mRNA shot and how it operates in your body.
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Be real. This is a democRAT that we're talking about. If there was any chance that he didn't have it this story would NOT have seen the light of day.