Looking at all above answers, all most common failure causes seems to be covered. Two points come to my mind though:
1. 'Cant be closed' as in 'stuck in 100% open positions, not able to move at all' or 'able to move seemingly to closed or almost closed, or partly, and then stuck leaking'.
Or 'air actuator not having sufficient torque?'
All valves behaving equally? In case not: Difference of placement in system?
Reason for questions: The probability of the cause(s) will vary according to the detailed description of the failure.
2. After the information already given in your description: I would guess at a combination of water and dirt, perhaps in combination with traces of oil, rust, (or even particles that 'shouldn't be there (winding tape, cutting spoons, excess dirt) dried on ball backside when open, gluing the ball to seats and also maybe the stem to stem sealings.
The clue to all is that with a good quality of ball valve, and a proper constructed and drained and filtered air system, stuck ball valves should not occur at all.
Recommendation: Recheck the complete air supply system. All indicates that investment in better drainage / air drying and filtering points will repay in less wear and maintanance.
Drawing of seats is less common under the given circumstances. Cause for drawing of seats is most often either poor or wrongly selected valve quality or (most probably again) excess dirt and smudge in system, hindering proper closure or opening, giving uneven force distribution on the seats.
Hair thin openings (almost, but not total closure of the ball valve) can give supercritical speed, seat drawing and cavitation damage. This is more often seen at higer pressures and temperatures, and are more typical for ballvalves in steam systems.
And as mentioned: A good quality 3-piece ballvalve in all SS with standard teflon seats installed would also probably repay. At normal conditions floating seats would be OK. Check and move valves at regular periodes (once a year or half year should be more than sufficient if the air system is good).
Standard procedure in our workshop, in activity with air instruments since 1927: If anything doesn't work, take it carefully apart, clean it, dont do anything but put it carefully back together again and see if it works then.
This advice has worked for the last 80 years, and are still as good, even if no one ever will admit that their air system is anything but top quality.
Good luck!