Funny. That first graph sure doesn’t look like employment for those 55 and older is at a 45 year high.
There are all sorts of games that can be played with segmentation as well as statistics. Note the missing word: rate. The 55+ age cohort has been rapidly increasing in total numbers as well as perxentage of population, so the segment has as well. That means that total employment can be at a 45 year high while unemployment can be at another high. Rate of employment or unemployment is one thing, total employment or unemployment is another. The same statement could be made, that unemployment is at a 45 year high, too, and be just as accurate. It’s actually likely that unemployment is at an all time high for 55+, since the rate is up there as is the total number within the segment, when compared to any past period, even the Great Depression. There were far fewer 55+ individuals overall then.