I am adding a basement bathroom where the waste pipe out of the house is above grade. I will be adding a sewage ejector pit/pump. See diagram.
The pit will be in direct line with the shower drain which is approximately 30" away from the 2" p-trap and approximately 29 inches away from the toilet. The pit will be installed on the other side of the wall that separates the bathroom from the utility room. I will connect the 3" inch line from the toilet to the 2" line coming from the shower with a WYE. From the WYE to the pit is only approximately 7 inches.
Given such a short run, does the toilet and/or the shower need separate venting? If so, where is the best place to put that vent in the diagram? The sewage pit will have a 2" discharge and 2" vent coming out of the top of the pit.
Thank you for your help.