Upstairs bath addition vent lines
I am adding an upstairs bath with a shower/toilet and vanity. The 3" drain pipe comes up from below near the corner of the room. From there i will run a 3" drain line horizontally to pick up a shower drain approximately 18" from the vertical drain pipe and a toilet approxiamately 48" from the vertical drain. The vanity on the opposite side of the room will have a 2" drain that will tie in near the vertical drain and will be vented with an air admission valve.
For the shower and toilet will one vent 2" line located between the shower drain and the vertical drain pipe be sufficient for proper drainage?