The best way of copying, trimming and joining?

I'm user of a laser cutting machine. After drawing the parts, I join and trim lines to make the machine path the shorter possible. So this is what I used to do on autoCAD to remove overlapping lines:
copy shapes, join them by snapping, trim the overlapped lines, make new single lines, join all the borders.
on LibreCAD I can't reproduce this workflow, so the best I could do was to explode all and then erase the overlapped lines. But depending on the polygons I'm working on , the explode of everything could be a mess to work with.

So my question is:
Is this the best way to do this on libreCAD?





thanks

EDIT:
Here you can see a real work comparison with these two methods to understand the difference:

There's no easy way to do it automatically.

We have libraries quite good at handling topologies, but not developed into this particular usage yet.

I know there are a few developers used LibreCAD for CNC, but features are added to LibreCAD.

Several ways,

You may develop a plugin on top of LibreCAD;
Or add new features to LibreCAD itself, like merging overlapped curves, and trimming to create closed contours.