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The phrase "approach worked well" is correct and usable in written English.
You can use it to indicate that a particular method or strategy was effective in achieving a desired outcome.
Example: "After implementing the new training program, we found that the approach worked well in improving employee performance."
Alternatives: "method proved effective" or "strategy was successful".
Exact(60)
This approach worked well for Marcy.
Three examples were solved and the proposed approach worked well.
Nicole Bradley, a PepsiCo spokeswoman, said the approach worked well.
Indeed, that approach worked well for G.M. for decades.
But the new approach worked well for Miliband.
This approach worked well when it came to cross-examining the borrowers.
The approach worked well for the most part, with an example coming in the 25th minute.
This approach worked well in several past financial crises, including Sweden's in the 1990s (see article).
That obstinate approach worked well through the first 12 years of his career.
Mr. Wulp's approach worked well with elementary-school children, but with the seventh and eighth graders there was a resistance.
The approach worked well; at one point the outbreak in Guinea seemed almost to have been stopped.
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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