I've been trying for several day now (unsuccessfully) to scrape cities from about 500 Facebook URLs. However, Facebook handles its data in a very strange way and I can't figure out what's going on under the hood to understand what I need to do.

Essentially the problem is that Facebook displays very different amounts of data depending on who is logged in, and what the privacy settings of the account are. For instance, try opening the following three links, both in a browser where you are logged into Facebook, and one where you are not: