And, yes you can clean them and make them work again.
Yes...IF (big IF) the problem is that it's got a plugged exhaust passage. Clean the passage, it works again.
If the problem is a leaking diaphragm, stick a fork in it--it's
done. You'll be buying another EGR valve.
While it's running, if you can reach it, squeeze the valve open with your fingers. If your idle doesn't get worse, the diaphragm's torn, causing a vacuum leak.
No.
If you force the valve open, and the idle does not get worse, the EXHAUST GAS PASSAGE IS PLUGGED.
A torn diaphragm makes no difference whatsoever when opening the valve with your fingers. It's the addition of inert exhaust gas to the intake manifold's burnable air/fuel mix that causes the roughened idle.
A torn diaphragm would only be the cause of a vacuum leak if the engine is supplying vacuum to the solenoid, AND the solenoid is open, supplying vacuum to the EGR valve. Since the EGR runs off of ported vacuum (no vacuum at idle) there's no vacuum leak when the EGR valve is forced open at idle.