I take it these are from an SCI1 game? Avoid is part of my in-progress VGA template game.
Avoid is a path finding routine. In SCI0, if you click for the ego to walk somewhere, if there's anything in the way, ego will bump into it and stop. SCI1 supports "Avoid", so it has smart paths. It can flawlessly walk from one end of the screen to the other without bumping into things. It automatically walks around obstacles. This calls a kernel called DoAvoider()
I haven't come across Chase, but it is probably like the "Follow" class.