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Re:Edge sends full URLs of pages visited to Microsoft by Youden on Sunday July 21, 2019 @11:57AM (#20491897)
Only through sync, which you can encrypt with a separate password to your Google account.

My sync is encrypted so I can't test this for you but I believe if it's not, you can check (and clear) your history here: https://myactivity.google.com/myactivity

Google's privacy policy seems to make it clear that this happens unless encryption is turned on: https://www.google.com/chrome/privacy/index.html#signed-in

Re:Edge sends full URLs of pages visited to Microsoft by janbporterb on Sunday July 21, 2019 @02:00PM (#20492661)
you missed the obvious one (that is actually related to the linked edge issue): SafeBrowse. SafeBrowse gets ALL your traffic from most browsers.
Re:Edge sends full URLs of pages visited to Microsoft by janbporterb on Sunday July 21, 2019 @02:03PM (#20492694)
Ah I was wrong about this!!! SafeBrowse uses hashes.

Edit: never be afraid to admit your were wrong folks :) So it only gets a “potential list” of sites you visited. Wonder if the operators could aggregate the data enough to deanonymize things

Re:Edge sends full URLs of pages visited to Microsoft by staticassertion on Sunday July 21, 2019 @02:23PM (#20492822)
The hash isn't even necessarily transmitted, and it's often partial hashes at that.