Experienced RUBBERMAID growers please.

Hi guys.. first off I will say that Im in the works of making a rubbermaid grow.. 2 bins stacked, very common now I guess... anyway, for some reason I can't seem to understand how to install a carbon filter onto the setup... I know how to build a DIY carbon filter ... I've read the most basic tutorials on it.. but

my concern is if Im hooking it up right... I think I need an "inline fan" to draw air out of the growbox into the carbon filter??

so basically this is what it would be like ? (square is rubbermaid bins stacked, just basic idea)
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where the "O" is the fan ontop of the rubbermaids which would have some kind of ducting leading the hot air from inside out through ducting into the carbon filter... is this correct??? if it is, what happens to the air after it enters the carbon filter? is there any moisture buildup? after all it is removing warm air .. and can the carbon filter sit in the closet with the grow?? i mean im not going to be venting it outside or anything, would that be bad???

I also need passive intakes apparently ... are those just two holes?

I would ideally like to have my fan and carbon filter in the back of the set up out of view so as not to draw any suspicion to the 2 bins stacked .. please correct my idea if its wrong... also where is the best place to put these holes for "passive intakes" ?

I don't know, but my other idea was to have the actual carbon scrubber part, inside the grow box connected to the fan like

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where the carbon filter is inside the grow so the air is cleaned inside before it ever leaves the grow box. and again it would be connected to this "inline fan" that is supposedly used for drawing air out.

Hope this isn't too confusing, im just trying to get a rubbermaid grow hooked up with a carbon filter in the back out of view, and any input is greatly appreciated! Please someone point in the right direction if you can.

THC