"I find that when I try to resolve the hints by reviewing them, more hints are added to my list. It looks like I will never get through the list in my lifetime unless I just ignore them one at a time. What say you!"
1) Yes, the statement is exactly correct. In fact, every time you make a change to a profile in your Ancestry Member Tree, Ancestry's search engine tries to find more Hints for you - Record Hints, Photo Hints, Story Hints, and Other Ancestry Tree Hints. And they store them in the "Hints" page for that person. For example: