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The phrase "infinitely large" is correct and can be used in written English.
It is typically used to describe something that is extremely large or vast, beyond any imaginable limit. Example: "The universe is believed to be infinitely large, with billions of galaxies and trillions of stars."
Exact(60)
And if one were to hammer the keyboard with infinite force, an infinitely large nonsense word would be produced.
The universe is infinitely large and among the infinite galaxies the Milky Way is all but one.
The PSF technically has infinite extent so a value of 1.0 would create an infinitely large region.
That haystack is infinitely large.
It was infinitely large — that's what I grew up on.
Unfortunately, their storage capacity is not infinitely large.
In fact, the correlation scale becomes infinitely large.
The expected value of this gamble is infinitely large.
All residents live on a flat, infinitely large plane.
When the capacity is infinitely large, perfect electrical interface reveals.
There are infinitely large sets of one kind of number, and even bigger, infinitely large sets of another kind of number.
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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