Hi all. I am a new owner of a 2012 Liberty Sport. Please be gentle.

I bought it from a private seller about two months ago. 61k miles on it. I have searched through the forums for my issue and have found a few things here and there, but wanted to make sure I am on the right track.
There is this infuriating thumping that comes from what feels like the center-ish/passenger side of my Liberty. It seems to be very random, happens mostly in 2WD but has now started a little when I switch to 4WD. It does not seem to be suspension related: i.e., it does not always happen, it does not happen over bumps, it happens on flat surfaces, etc. It can start anytime and go away any time. I hear/feel it when I pull out of the driveway some days and not other days. I hear it when I slow down sometimes and not other times. I hear it when I am going a higher speeds and not other times. Hence the "infuriating" adjective.
I see posts/threads about CV joints and replacing driveshafts/axle shafts, but I am trying to put this all together to see if I can figure out what is really going on.
Where do I start? What do I look at?
I have always had Mopars of some sort or another and this is my third Jeep, but this is a noise I have never heard or dealt with before. I am sort of at a loss and would love some kind of help, input, direction, etc. If there is another thread referencing all of this, please point me to it! I tried to find it before I posted this, but got a bit overwhelmed. I am hoping all you experts can assist.

Thanks in advance for any advice, assistance or other suggestions.
