accessory bathroom connection

I can't find much of anything about plumbing from an attic, through an old chimney, to the basement. Why? It seems like a perfect path. My chimney is not closed yet (roofers coming). Before, wouldn't it just be starting on the roof. Then add 20 or 10' lengths of PVC and pex, connecting them...

Hi All, I've built an accessory dwelling unit with a full bathroom. The 3" waste line is pitched under the slab into a Liberty pump grinder/ejector (Provore 380-SD). The ejector is buried in the ground just outside the building structure and as per the installation instructions, a 2" SCH40 PVC...