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Routing this, even with a jig is a daunting proposal, IMHO. Assuming you're going to paint this assembly, I'd suggest this instead: Take side rails for the screen panel and using a dado (table saw) or router table, remove 1/4" deep x 1/2" wide from the edge to receive the louvers-both sides. Then set the dual rabbeted edges face up and scribe the lines for louvers. Using a radial arm saw with a hollow ground planer blade, cut the louver kerfs at your chosen angle in the edges. Then, assemble your frame with top, bottom, and middle rails, and glue 1/4" x 1/2" filler stock on one side to replace what was rabbeted in the first step.
Flip the whole thing over, slide in the louvers, and install filler strips as previously described. Sand and paint.
That's my best shot, as the CNC milling machines which perform these tasks for door builders are beyond the pocket of mere mortals as you and me.
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There ain't nothin' more powerful than the odor of mendacity -Big Daddy
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