The first graph illustrates that, since the end of Obama's first year in office, private sector employment has indeed recovered steadily and is now back to where it was when he took office--around 111 million jobs.
Unfortunately, the growth in private sector employment has been counteracted by a drop in public sector employment. This is the graph for state and local government jobs:
The final graph adds federal jobs to state and local jobs to get the number for total public sector employment. (Presumably that spike mainly reflects hiring for the census.)
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