Whew, I threw away my Lavasoft hat years ago.

If you selected Quarantine rather than Remove, the objects were stored in the Quarantine file. When uninstalling AAW, if it completely uninstalled, the Quarantine logs were removed as well. Not having used it in a long time, however, I do not know how clean the uninstall process is these days. It is possible there is still a Lavasoft/Ad-Aware folder in the Local folder in AppData.