
I have combined the paths (Ctrl+k), but, of course, the paths were still open.
Using the unite command gave me:

and the exclusion command gave me:

Next, I tried adding one node on each end of the purple line, exactly where the red line's nodes are placed (the green boxes in the first image), and tried to join them. Because the new nodes on the purple line aren't endnodes, it didn't work. I looked through the forum and the help guide and didn't find anything that will let you join NON-endnodes.
The only thing I can think of, but don't really like, is to break the purple path at the additional nodes, join the newly formed endnodes to the red line's endnodes, then select the new shape and the 2 "orphaned" lined and combine with Ctrl+k.


Any other suggestions?
KJW