Context: we just moved, have a toddler my wire is pregnant AND sick, and I'm just recovering from the same bug.

With that said, this is the result of 30 minutes of reading the international building code, 30 minutes of trawling various home improvement forums, and two hours of actual work. Once I return the tin snips and some other stuff, probably cost around $100.

Oh, I replaced it because the old one was entirely foil and had poor air flow.

Lemme know what you think or if there are any glaring errors

(I still need to tighten the screws and clip off excess)

Also, joints are arranged so the inner duct faces with the direction of airflow in all but one connection, between the foil and rigid duct. I'm also pretty sure the hose clamp there isn't necessary, but i had it and figured it couldn't hurt.

FINAL additional info, straight sections were closed and sealed with the aluminum tape as well