As is usually the case, there is far more than meets the eye to the Labor Department’s report that the economy added 117,000 jobs last month and the unemployment rate fell to 9.1 percent.

Let’s start with the reality that fewer people actually were working in July than in June.

According to a Bureau of Labor Statistics breakdown, there were 139,296,000 people working in July, compared to 139,334,000 the month before, or a drop of 38,000.

But the job creation number was positive and the unemployment rate went down, right? So how does that work?

It’s a product of something the government calls “discouraged workers,” or those who were unemployed but not out looking for work during the reporting period.

This is where the numbers showed a really big spike—up from 982,000 to 1.119 million, a difference of 137,000 or a 14 percent increase. These folks are generally not included in the government’s various job measures.

So the drop in the unemployment rate is fairly illusory—stick all those people back in the workforce and you wipe out the job creation and the drop in unemployment.

For once, some of the government’s other tools of economic voodoo didn’t help the count.

The vaunted birth-death model, a byzantine approximation of business creation and failure, actually subtracted 18,000 from the total job creation after a five-month run where it added a total of 741,000 positions to the count.

And the so-called “real” unemployment rate, which adds in discouraged workers and others not counted as part of the headline unemployment rate, actually pulled back one notch to 16.1 percent.

But there’s plenty of bad news to go around otherwise.