I just want one line that represents the centroid of a bunch of parallel lines, which one in each bunch doesn't matter.
I've already tried doing a dissolve operation to make one thick line that overlaps the unwanted ones, but the result looks clunky and I would really rather a Polyline as data.
This is what the data looks like right now. I drew a few black lines between the clusters in the paint to show you what I am going for.