clean and check the bores. Those guns are old enough to have possibly fired some black powder loads or some smokeless ammo with corrosive priming. Tighten the take down screw and see if the two halves of the gun still wiggle. Those guns are Pederson designed and very easy to take down, but the take down screw tends to loosen and unscrew itself during firing. Eventually, the two halves become permanently loose. Not unsafe, but bad for accuracy. The guns should not allow the pump handle to move forward with pressure on the trigger, if it does, the gun needs repair and may be unsafe. The small rectangular piece directly ahead of the trigger guard is the slide release. Just like a pump shotgun. If you can pump the forend with the gun cocked and ready to fire, without depressing the slide release, the gun is broken and the slide release will have to be replaced.
These were good guns which would give many decades of service, but the take down feature prevented them from target rifle accuracy. And that's just fine, they were never intended to be target rifles. They make a really good, smooth, slick handling hunting rifle.
If you get them, a warning : Do not attempt to disassemble that bolt !! It is tricky. Just soak them in solvent, blow them off and re-oil.