> I think construction lines are selectable and movable
Yeah they are if you use one of those script methods to make one that stays around after the current command exits.
But it's kind of hacky - they don't have highlights or show in selected colors even though they can be dragged around. It's not really a fully finished off area.
Solidworks allows infinite lines. They can be construction lines or real lines. If they are left as real lines, SW ignores them when using the sketch, say, for extruding. This is confusing so I always convert them to construction lines.