I did not see what size they are, but at least the one on the left (the long one) with the extra deep length and the thru hole looks like what we used to call a "Gas Tank Socket". Snap On and others made similar extra deep sockets (with conventional square drives) for removing gas tank straps with the long threaded bolts. The extra depth was needed for that. Perhaps yours are suited for long threaded adjustment rods? Handy socket to have.
Just a thought.