Immagine a situation where your ship with advanced sensors is currently out of range 1 of Jax, but going to move into range 1 of Jax, before Jax gets to move (you have a lower PS). You know (hope) Jax will most likely move out of range 1 when he moves. You could use the advanced sensors to take the action you'd be prevented from taking once your movement is complete.

If you can't spend them within range 1 of him, I'm curious what you could do before moving, thanks to AS, that you could not do after moving. You can focus or evade, then move, but you can't USE them if you then move within range 1, right?

I think what they are trying to say is that you can take an action and then move into range one of Jax. If you moved then you couldn't focus for instance. Now you can't spend the token while within range one but if Jax hasn't moved yet then he might move back out of range one during his movement, thus allowing you to spend that token once combat rolls around. Basically makes it so that his ability only takes effect when you don't care.

Another good use is on the Lambda Shuttle. With it's zero move red, taking the action and remaining still is likely very advantageous. If used on Jendon with ST321 you could keep him almost in place, negating the dial problems to a greater extent.

I'm trying it out today.

Ah, right, because he's ps8 and would move after someone like Ibs.

Just used Colonel Jendon with advanced sensors and it is VERY useful. Never had to worry about getting my actions, even if I knew my move would make me bump. It went a long way towards keeping him in the game almost to the end.

He is still fragged if a fighter gets behind him though as Wedge did late game.

This works exactly the same way every other action interacts with PTL. If your PTL ship gains an action from somebody else handing it to him (Lando, Squad Leader) or from some other source (Turr Phennir boosting/barrel rolling after an attack), then you can immediately use PTL to get another action.

So yes, you could use Advanced Sensors to take an action, use PTL and take another action before maneuvering. Just be careful that you don't have a red maneuver selected, or the stress you gain from PTL will allow your opponent to choose your maneuver.