The phrase "exaggerate the case" is correct and usable in written English.
You can use it when you are trying to emphasize a point, often to draw attention to the seriousness of a situation or emphasize the importance of an opinion. For example, "This is a serious problem that needs to be addressed—we shouldn't exaggerate the case, but we also shouldn't ignore it."
I would like to add "but they have something", but that would be exaggerating the case.
There is also a widespread belief that Tony Blair, at best, exaggerated the case for war.
He described the source as "gently despairing" about the way Downing Street had exaggerated the case for war.
Most people still correctly believe that, whether wittingly or unwittingly, with the best of intentions or the worst, the government exaggerated the case for war.
Some time after his return, Mr Wilson accused the Bush administration of exaggerating the case for going to war, in a comment article in the New York Times.
Ms. Reno and Mr. Freeh disputed the conclusions of some senior nuclear weapons experts who have accused the government of exaggerating the case against Dr. Lee.
It has also been reported that an Emirati court official said that the British media was exaggerating the case and that "[the] wife's beauty was attracting a lot of foreign interest".
A1 Andrew Gilligan, the reporter at the center of the dispute between the BBC and the British government over whether the government had exaggerated the case for war against Iraq, resigned from the BBC.
Viewers in the Middle East will also remember how the BBC got into trouble after one of its reporters accused the British government of exaggerating the case for war against Iraq.The new service will cost £19m ($34m) a year.
The suicide set off Lord Hutton's inquiry, which next Wednesday will try to settle the question: did Mr. Blair deceive the public by exaggerating the case for war, or did the BBC unfairly impugn the prime minister's integrity?
