When a person applies for a background check to purchase a gun or semi-automatic, is a record kept of it?
It is a crime to do so. Sometimes Democratic administrations attempt to break the law.
The NRA is pretty good at getting on their case when they do, though.
Does the government know where the legal purchasers are?
If they have a gun with a specific serial number though, they can go to the store that sold the gun and consult the Form 4473.