I know they officially remained in existence. But at the same time, they didn't really seem to do anything. In the history books I've read, the story of the SA basically finishes at the Night of the Long Knives. The story then focuses on the SS and the Wehrmarch.
But if they still existed, they must have been doing something. Why wasn't it just abolished eventually? What did they do?
The SA was downsized after the Night of the Long Knives but as you posted they remained in existence until the end of the war under the command of Victor Lutze up to his death in '43, followed by Wilhem Schepmann. As you'd expect from the militia-obsessed Third Reich, they had their own combat branch, semi-analogous to the Waffen-SS but much smaller, called Feldherrnhalle.
Sources: Jill Halcomb's The SA: A Historical Perspective