The phrase "both big and small" is correct and can be used in written English. You can use this phrase to describe something that is of a wide variety of sizes. For example: "Jill's assistance with the project was invaluable, as she was able to help complete tasks both big and small.".
The multiple aims are both big and small.
Displacement includes both big and small moves by families.
Women directors have triumphed on both big and small stages.
He has launched numerous award-winning digital properties for multiple brands - both big and small.
"Our results are unexpected, in both big and small ways," they write.
But self-censorship is alive among editors of newspapers both big and small.
In ways both big and small, I remain scarred by this period.
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