According to this page it would seem like they don\'t, in the sense that they don\'t actually run it, but that page is 2 years old (judging from the copyright info).
Generally no. Google has mentioned that they are working on a system of indexing ajax content, but I don't think any of the major search engines index dynamic content as a rule. See this page for Google's take on it: http://www.google.com/support/webmasters/bin/answer.py?hl=en&answer=81766