Ask HN:Does the Android Facebook app has access to Chrome search terms?

I went to 7/11 to get something. I saw this beer they have for sale named SAPPORO. I was intrigue with the size of the can (650ML) and wanted to read some reviews so I opened Chrome on my Android phone and searched. After I wen't back home, I opened Facebook on my desktop... lo and behold a SAPPORO Facebook ad (LIKE page) was shown on my stream.

Does it mean Facebook has access to search terms I typed in Chrome on my mobile? Or facebook is buying it from Google? I always thought the latter is not allowed as per Google's privacy policy.