There is an episode in which, during breakfast, Mike says that Archie is upstairs trying to shave using the same razor for the 50th time and jokes about Archie trying to get one last shave out of the razor. After a while, Archie comes down the stairs with bits of toilet paper stuck to his face to stop the bleeding.

I remember the scene and I've been desperately trying to identify this episode. Does anyone know which episode is this?

He had a shaving mishap in ABP's Archie Gets A Head. But this synopsis sounds different.

Thanks for trying to help; I finally have been able to identify the episode. Just in case anyone else is also looking for this scene, it is from S08E02, "Archie Gets the Business: Part 2".

Yes I remember that was a 2parter!