January 2008 Labor Participation Rate: 66.2% July 2016 Labor Participation Rate: 62.7%
62.7% participation means 94 Million Americans are not working. (Source: http://www.cnsnews.com/news/article/susan-jones/labor-force-...)
Full Employment only calculates people who are actively looking for work; anyone else is not part of that calculation.
To make an easier example, if 20 people are in a room, and 9 say "I'm employed", 1 says "I'm looking for work", and the other 10 say "I've been out of work for so long I'm not even looking), then that means:
90% employment (10% unemployment rate); but the labor force participation rate is only 50%.
Add another 5 people people to the mix (people that recently turned 18), and suddenly you have full employment, even if you have 10 of those 25 not looking for work or unable to work.
So to say "The US has an OK recovery and is closing in on Full employment" is an empty saying because you can have statistical full employment and have half of the population not holding a job.