I am installing a basement bathroom (sink, toilet, tub) and curious about venting properly. I am going to run a 2 inch vent up past the sink drain(common I believe). I would like to know how to properly vent my toilet behind the toilet flange, going up into the wall that will be built behind it. I've attached an example of what I would like to do to vent the toilet but I will be avoiding the horizontal portion of the vent pipe and 45 degree up into the wall(2" vent pipe). I could also attach a wye 45 slightly down stream of the toilet waste and run it back past the toilet flange and then into the wall. The pictured example looks easiest though. Also do I need a separate vent for the tub or would it be close enough to the toilet vent(wet vent?)?