Hi I'm Brian. Everything looks ok to me. I would do it different though. The one thing that I don't think u need is a clean out. If u have your double Ty going the right direction u won't have a .problem snaking it ever. You can also go as minimal as 1/16 of an inch on your pitch for vent if needed. It's a vent not a drain. I would use pex if your not so sure on the sodering. Another thing is reduce to 1 1/2 for the drain and venting. 2 inch is not needed, easier to work with. Good luck! Any questions ask.
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