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The phrase "much higher number" is correct and usable in written English.
You can use this phrase when referring to an amount or statistic that is significantly greater than another. For example: "The research team was surprised to find out that the rate of CO2 levels was a much higher number than they had initially predicted."
Exact(60)
If that changes, the company could face a much higher number of lawsuits.
"Now at a big club, that 20percentt is going to be a much higher number.
However, a much higher number of bats were reported to have been killed by wind turbines.
They found a much higher number of snorers in the family than would be expected by chance.
Obviously, however, police forces seize a much higher number of cannabis plants: 507, 396 to the UK Border Agency's five.
The researchers suggest that by allowing tests on a much higher number of animals, steroid abuse could be reduced.
"We found a much higher number of fast-food outlets in more deprived areas where a higher number of black and minority ethnic populations resided.
In his statement today, Colonel Hla Min said that a much higher number of prisoners had been freed and that the releases would continue.
Of course, Florida is very different from Washington or Oregon, with a much higher number of immigrants, large pockets of poverty and many more elderly voters.
If Germany has accepted disproportionately more asylum seekers than Britain, it has also seen a much higher number of violent incidents directed at asylum seekers.
Africa has more than 3 million refugees and some 15 million internally displaced, a much higher number than 10 years ago.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com