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The phrase "Trial and error" is correct and usable in written English
It is typically used to describe a problem-solving method where various attempts are made until a successful solution is found. Example: "Learning to play the guitar involves a lot of trial and error, as you figure out which chords sound best together."
Dictionary
Trial and error
noun
The process of finding a solution to a problem by trying many possible solutions and learning from mistakes until a way is found.
Exact(59)
Trial and error also presented new options.
Trial and error play an inevitable role.
Trial and error worked for him.
Trial and error is the only solution.
Trial and error.
Trial and error has certainly benefited Pepo.
Trial and error: Former Dist.
Trial and error is a beautiful concept.
"It's trial and error.
"It's been trial and error".
Similar(1)
Relationships, too, involved painful trial-and-error.
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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