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The phrase "illustrates how many" is correct and usable in written English
It can be used when discussing data or examples that demonstrate a quantity or number of items, people, or occurrences.
Example: "The chart illustrates how many students passed the exam this year compared to last year."
Alternatives: "shows the number of" or "demonstrates the quantity of"
Exact(16)
Pennsylvania's experience illustrates how many people drop out of the process before the independent review stage.
Nick's narrative begins the book, and it illustrates how many different ways there are to dissemble.
His odyssey from bottom-level horse to unlikely stakes champion and back again illustrates how many in the racing industry routinely overlook their responsibility to aging animals.
A sampling of three — from WizCom Technologies, I.R.I.S. and Planon Systems Solutions — illustrates how many variations you can find on the same idea.
The situation in Wise County illustrates how many family physicians are caught in a growing divide between rural and urban health care markets.
This illustrates how many of the petty but insuperable-seeming hurdles that Russian rules create for businesses disappear quickly enough if you, or your landlord, are paying the right "security firm".
Similar(44)
Figures illustrate how many commuters are in each station and the waiting times.
Such incidents illustrate how many in the ANC still see Mugabe as a brother in Africa's liberation struggle while dismissing the MDC as a Johnny-come-lately conjured up by western imperialists.
The exchange illustrated how many in Africa still feel, often correctly, that they are perceived as a single morass, and one that is associated with disease, famine, poverty and war.
They show there have been 516,000 payments in the first year, illustrating how many savers have opted to make multiple withdrawals rather than taking 100% of their fund in one go.
From Canada, this photo – entitled "Judgement" – went viral last year, illustrating how many westerners are aware of the equivocation between skirt length and morality, even if they oppose this attitude themselves.
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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