hello I was play around aol search engine it look like they really use google for all thing all what they do is just replace google logo with them logo and I will be intersted if there any script using google as aol
AOL and google split the revenues for the sponsored links just as someone with an Adsense account can place a search box on their site and make money from any ads clicked. However, since AOL gets so many searches I'm sure google gives them a better price on the clicks.
At one time Google and AOL were in the same building, this is probably why AOL has a slightly modified search, on top of that the "Powered by Google" thing helped google start when they were in the same building during the early 2000's.
I think AOL just use the Google API. Revenues will be split since I remember reading about them doing the deal together a few years back.