In my experience, I don't know if there's any way to say 'this is how you fix this.' I sometimes get weird lines but when I open the parcel it looks fine like above.
I would recommend several things. Delete any tax parcels, easements, and bring the line work in question down to one layer, like lots. Make sure there's nothing historical behind the work too. Try to reconstruct from parent each of the parcels and delete the old parcels. If you have a right of way parcel, you may want to construct from parent on that too. Unjoin/rejoin each parcel individually (redoing the join links) and see if that fixes things. I try to avoid rejoining parcels as a group.
Sometimes I've noticed erroneous dimensions in lines that may cause issues. Ultimately, you'll need to try different processes to try and fix this.