Hey Stubby, Back again I see.
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1) Am I correct that I will just need a 2" vent? The half bath will have just a lavatory and a toilet.
My code, (SPC) will allow 1 1/2" vents but our inspectors prefer 2" vents.
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2) I read somewhere that I need to increase to 3" when I come up through the roof, is this true? Or is 2" fine?
2" exiting the roof will be just fine.
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3) Alternatively, is it OK if I tie into an existing vent, as long as it is above the flood rim of the other fixtures?
Not just the flood rim of any fixture. There can be nothing discharging above the fixture you're reventing back into, It MUST be a dry vent.
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4) If I go the above route and tie into an existing vent, is there any limits on the length of the vent line? I know it needs to be sloped, 1/4" per foot? More? Less?
No limit, 1/4" slope.
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5) The biggest question though, is can a vertical 2" vent line be run safely and code compliant through a 2x4 exterior wall? Is it code compliant? And, if it is, are there any risks during cold weather, etc?
Are you asking if you can run the vent outside and up a outside wall. Through the over hang and out the roof? Check with your local Building Department.
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6) Instead of all of the above, what about an AAV? An AAV seems like the perfect option here, but do they really work? I'd have no problem making it accessible, I could cover it easily with a mirror?
Yes they work but it will have to be OKed by the plumbing inspector before installing.
Good luck, Tom