To answer your question, these aren't your three transparent solids. It's an extraction of all the edges from those three objects. The result is a wireframe of all visible objects.
To perform this extraction, you need to use the “SelectByType” script.
Below is a link with instructions.
Hello everyone,
Thanks, Pilou, for posting this link.
I'm adding another link for Booleano, so we can save these scripts and plugins in a convenient location and have them available for every new MoI3D beta and new version of MoI 3D.