The popups aren’t advertising in the conventional sense, they aren’t throwing up totally unrelated adverts, but promotions of the other avast product range or general information on security related issues.

These popups could be blocked by using the silent gaming mode. That however, could have a downside in that you don’t see any avast interactive windows, such as Hardened Mode (Aggressive) interactive window. You would have to have enabled this as it is off by default.