That's not the case. When your benefits run out you are still considered unemployed, as long as you are still looking.
For purposes of the “5%” unemployment rate the govt considers you employed after your drop off the unemployment rolls because they only count the ones on unemployment for their distorted unemployment rate. Its all kabuki theatre.
Then where does the 5% employment come from?
You are not considered unemployed according to this definition by the Gallup organization.
“None of them will tell you this: If you, a family member or anyone is unemployed and has subsequently given up on finding a job — if you are so hopelessly out of work that you’ve stopped looking over the past four weeks — the Department of Labor doesn’t count you as unemployed. That’s right. While you are as unemployed as one can possibly be, and tragically may never find work again, you are not counted in the figure we see relentlessly in the news — currently 5.6%. Right now, as many as 30 million Americans are either out of work or severely underemployed. Trust me, the vast majority of them aren’t throwing parties to toast “falling” unemployment.”
This to me means that this is the same as being considered employed.
http://www.gallup.com/opinion/chairman/181469/big-lie-unemployment.aspx