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FYI "invert selection" is for selecting everything you dont currently have selected. So if you have 100 pieces down and you want to move all of them but 1 or 2 you can select the 1 or 2 and chose "invert selection" and it will select the other 98 for you. It is equivalent to selecting all and deselecting the few you don't want.
In most 3D programs, you would Scale -1, but LDD doesn't have this feature.
Other than a couple of stairs from older sets, I'm struggling to think of any others! There must surely be more, though - anything which lacks symmetry (including rotational symmetry) would be a candidate.
I also would like to mirror a model. In my case there's no writing, it's just bricks. Even if there was writing, gears, whatever, it could just use the brick in the other position, we don't need to actually mirror the individual bricks, just the model :)
It could warn in case whatever couldn't be solved my moving regular bricks to mirrored positions. Not a terribly difficult problem for a computer.
Trickier would be to interlock the mirrored bits, assuming that was needed (like for a stronger build).
Do ldraw or other tools do mirroring?
Ok, I got fed up with it and wrote a little script. After all, all I wanted to do was flip the x, y, or z positions of bricks. Maybe there's a better way, but here's my post: http://ourrandombits.blogspot.com/2015/05/how-do-i-mirror-ldd-ldraw-file.html
Thought about putting it on some source place so other people could add "replace left & right wings" if they wanted to, but this is good enough for what I needed.