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Discover LudwigSuggestions(5)
The phrase "the cost of" is correct and usable in written English.
You can use it when referring to the expense associated with something, for example, "The cost of the new computer was quite high."
Dictionary
the cost of
noun
Amount of money, time, etc. that is required or used.
synonyms
Exact(60)
The cost of high achievement.
What about the cost of the packaging?
"Concerns about the cost of Q.E.
The cost of living is high here.
The cost of litigation is similarly multiplied.
The cost of deterring them is high.
Third, there is the cost of adaptation.
Many underestimate the cost of local staff.
Such losses are the cost of contention.
The cost of tickets often staggers me.
The cost of sugar rises too.
More suggestions(25)
at the cost of the seller
at the cost of the buyer
a session on the cost of
at the cost of his queen
at the cost of his anonymity
alas the cost of
at the cost of lifle
at the cost of occurrence of
at the costs of the nypd
a faction of the cost of
at the cost of clarity
as director of the cost of
at the cost of broadening the
at the cost of victims
annum the cost of
allay of the costs
a year before the cost of
at the cost of parsimony
at the cost of bone
at the cost of inconvenience
at the cost of taxa
at the cost of relinquishing the
at the cost of an elegant
at the cost of depriving
and at the cost of his
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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