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'virtually infinite' is a correct and usable phrase in written English.
You can use it when you want to indicate that something is so large or so complex that it could be considered to be infinite. For example: "This mathematical equation has virtually infinite solutions."
Exact(60)
The sun is a virtually infinite reservoir of renewable energy.
Every element known to mankind, in virtually infinite amounts.
Researchers say that lithium's expansion during charging is "virtually infinite" relative to the other materials.
The virtually infinite variations on life are the fruit of the evolutionary process.
The supply of ad space on the internet is virtually infinite.
The palette is virtually infinite, allowing anything but navy blue, which looks too much like black.
A virtually infinite number of chemicals and chemical mixtures are potentially present on hazardous waste sites.
It can lead you to think that your opportunities are virtually infinite, and therefore to question what you have.
Imagine a person who is both endowed with virtually infinite and irresistible powers and is invulnerable to any earthly resistance.
After all, Thoreau was offended that orchardists cultivated only a few varieties from nature's virtually infinite stock.
No amount of mathematical artistry would be sufficient to explain the virtually infinite number of variables in human behavior.
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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