I believe this is an example of DC offset which I occasionally run into in my recordings.
It probably sounds fine as recorded, but I believe the offset should be repaired, if possible, because when you apply further processing to a recording with DC offset it can cause problems with the processing that can lead to increased distortion.
To repair in audition, Google turns up that you can load the recording into audition, right click on the level meters, and select "repair DC".
I use Audition and never knew this. What I have done in the past, and you can try if this doesn't work for you, is to use Scientific Filters/High Pass Filter and Nuke everything below 20 Hz (maybe even below 10 Hz would work).