Jeep has been recently losing coolant with no signs of visible leaking even after i just had a new radiator put in jeep will condensate a little when i hold a piece of cardboard up to the exhaust pipe that and my jeep will start up hard after i have it running at operating temperature for awhile like say if i stop at a store after driving for 30 minutes then come back out and start it up i can feel it bump and idle hard

 

What year model ?

 

2001

 

bump

 

have the engine running and wait for the temp to come and if it pushes coolant bad out of the radiator then it probably is a bad gasket, you can also get a test kit from NAPA which test for coolant in the combustion chamber I never can remember the exact name of it though

 

being a 01 the odds are its the 0331 head cracked.
Any exhaust will condensate some. Hot exhaust into cool air makes condensation.
Have someone put a pressure tester on it to verify there are no external leaks. Ck oil fill cap for any green tint.