[chuzz]

I'm not sure, but I think it will take several drive cycles before the CEL goes out. If you're not having any problems with it, I'd suggest you just keep driving it and wait for the light to go out.

 

[ImperialCrown]

The P0137 is a downstream O2 sensor voltage low fault code. You might want to try to replace it with an OEM part if the light doesn't go out and it is the only code present.
There was a TSB for a PCM software flash for false P0137 code sets on early 2004 JR with the 2.4L engine. See TSB # 18-010-03.
There was another TSB #18-008-04 for a spark plug change from RE16MC to RE14MCC5 for better cold weather performance.