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'by age' is a correct and usable phrase in written English
You can use it to refer to the age of someone or something; for example, "I sorted the items in my home by age."
Exact(58)
The new books divide topics by age.
By age one hundred, three remain.
It is illegal to discriminate by age.
Income drops vary significantly by age, though.
Below are top picks organized by age.
Staffing ratios are also set by age.
He was a general by age 33.
Ordinariness is not transformed by age.
Ability also varied by age.
Similar(2)
An age-by-age guide.
Group-by-age interactions were examined.
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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