the article you quote refers to an increase in long-term claimants. This suggests that there is a fall in short-term claimants - they are moving on and off benefit fairly fast - (at what stage do short term clts metamorphose into long-term???) but that long term claiamnts are not moving off to any significant extent. Many long-term claimants succeed at appeal because the DWP hasn't shown that their condition has changed for the better so they tend to get stuck on beenfit. Even a slow rate of addition from the new short-termers will then increase them, as theya re not flowing off benefit as fast as short-termers. This is of a piece with the evidence about being on benefit for more than 2 years meaning you'r unlikely ever to work again. However how reliable is the evidence? In the last few years it's often said that the numbers on IB as a whole have actually fallen slightly, implying that people are flowing off slightly faster tahn on.
Then there's lots of questions about lies, damned lies and statistics...
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