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The word "by-product" is correct and usable in written English.
It is used to describe a secondary or incidental product that is made during the manufacture of something else. For example, "The by-product of the oil refining process is a thick, black tar-like substance."
Exact(46)
Another by-product was bitumen.
Water is the only by-product.
Another by-product is camaraderie.
That would be a wonderful by-product.
Entourage Hatefully unfunny, toxic TV by-product.
This wryness is nearly a by-product.
Similar(14)
We're diversified geographically and by product type.
She grew older & product by product her identity slipped away.
Browse by product category, designer, or manufacturer.
Shop by product, occasion or material.
Sales by product, cost by product, basic financial stuff.
Related(4)
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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