My favorite FaceTune example:
https://scontent-sea1-1.cdninstagram.com/v/t51.2885-15/e35/3...
P.S. Interestingly enough, if you remove the query string from that URL, the link refuses to work and displays a "bad timestamp" error. Which is what made me guess they employ some expiring timestamp hash in query strings for image URLs.
Instagram is aggresively user-hostile and if you work there you should feel bad.
On mobile, clicking that link opens up the mobile app (which sends the browser with history into the background), but I assume that can't be what you're talking about...?
Let’s not turn this into a thing people do.