Hello,
1. well, the URLs with autogeneration might get crazy as com_exposeprive is not generally supported by JoomSEF and it would need an additional plug-in to work fine (I have noted it down and added to our list of extension that can be supported, but the list is already quite long and our time options limited)
2. as regards the problem wit the original URL showing -
if the component is set not to use JoomSEF generation engine, then JoomSEF will ignore it completely, so even if you enter the URL manually then, it will not be translated;
in such case, you need to leave the JoomSEF to generate the "crazy" URLs and then edit them and make them reasonable in the URL editor. The best is to mark them as "custom edited" thus they will not be accidentally deleted on URLs purge.