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The phrase "a trade of" is correct and usable in written English.
It usually indicates agreement or acceptance of an exchange, and it is often used in business or political contexts. For example: "The two nations agreed to a trade of natural resources."
Exact(59)
In this case, availability is lowered as a trade of higher reliability and safety.
The idea was to avoid a trade of light-squared bishops.
A trade of a derivative would face a tax of one-hundredth of 1 percent.
Mr. Powell said he never mentioned the idea of a trade of one rule for another.
After 20 f4, Black could have forced a trade of queens with 20... Qb6.
It forced a trade of bishops, but let Anand keep his bind on the light squares.
But two factors could complicate a trade of a Republican seat for a Democratic one.
Sanders said he wants universal healthcare – a trade of small tax increases for big insurance savings.
(A program trade consists of a trade of 15 stocks worth at least $1 million).
Both sounded as if a trade of Jagr, the league's leading scorer, was in the works.
Similar(1)
China and South Korea agreed a trade deal of their own.
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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