If you are talking the results that appear in the colored boxes at the top or the links on the right, those are paid advertising links. Sometimes they'll take you to a merchant's page or you are taken to a page with search results. Sometimes when you click, it'll take you to another pay-per-click search engine's results where they will swap the lower cost keywords around to show the higher priced keywords and make money that way.
The reason they say something like: "Find more on _____ at...." is because it better targets the ads by having the product in the description since the clickthrough ratio has an effect on the rankings in google. The more clicks someone gets, the higher up they appear. I actually do the same thing and a lot of listings out there.
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