Your hydraulic preasure is in the thousands of pounds. It's also moving through your system all the time to some degree. Air in your system is pretty common when you replace or work on it, but otherwise, it's probably impossible for air to get in there. Too much preasure. When it does happen after repairs, you just do as Jimi mentioned, and it goes through the system until it's gone.
I think you are saying that your 4 in 1 bucket is opening by itself while you are back dragging your bucket? If so, then you don't have air in your system, you have something else wrong. My guess is your seals are no longer working on the pistons in your cylinders. Does the 4 in 1 bucket have allot of power when you close it on something? It will probably still work with bad seals, but not with allot of force.
Will it stay open when you park the tractor and turn the engine off? Will it stay open with the tractor running at idle?
Since you just mentioned the 4 in 1 bucket, that's where I'd focus my attention. But I'd also lift the loader and see if it stays up on it's own at idle and with the engine off. If it does, that confirms it's the piston seals in your 4 in 1 bucket.
Eddie