Thanks Nat! That seems to work if I delete a complete clip.
However, I tried going to the clip adjacent to the grouped clip on the left and shorten it by dragging the right edge to the left a few seconds, the Grouped video follows the shortening of the video, but the audio does not move. Then when I go back to move the grouped clip, the video and audio is still grouped but the location of where the audio has changed. It was originally at the beginning of the clip, now it's in the middle because the video portion shifted left.