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1.
To keep it how it was in the first place; To forget about the problem
Me and my boi got in to a big fight but we made up and decided to keep it pushin
by Mariyiah April 27, 2006
 
2.
To keep moving forward with day to day operations. Even despite tragedy.

Similar to, "The show must go on"
That's sad news that little Chris got shot. Ima miss that n*gga but we gotta keep it pushin'.
by Truth by Daylight February 11, 2008