Personally, I would not do a deep thread cut like you did. If you want to see how the threads fit, I would suggest something like this:
include <BOSL2/std.scad>
include <BOSL2/threading.scad>
include <BOSL2/bottlecaps.scad>
difference() {
translate([0,0,-2.5]) cylinder(18,21.5,21.5);
cylinder(24,19,19);
translate([-30,-5,0]) cube([60,10,25]);
translate([0,0,11])
thread_helix(d=37, pitch=7, thread_depth=5.75, thread_angle=25, twist=520, $fn=72);
}
The big advantage of this method is that you don't need supports.
And for speed of printing, you might want to cut out some more slots.
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