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The phrase "improvement has been" is correct and can be used in written English.
You could use it when referring to something that has gotten better over time, such as in the sentence: "The quality of customer service has drastically improved since the implementation of the new training program - improvement has been seen in both speed and accuracy."
Exact(60)
In some studies, symptom improvement has been associated with improved survival (Cella et al, 2003).
His improvement has been drastic.
But the improvement has been patchy.
Ilgauskas's biggest improvement has been on defense.
Or perhaps you're puzzled that improvement has been so meager.
Still, the pace of improvement has been slow.
"Our rate of improvement has been quicker than I expected".
The key to her improvement has been consistency.
The other improvement has been the new sense of community.
Another improvement has been in reducing leg pain after surgery, Richardson said.
I think that's why my improvement has been faster than it might otherwise have been".
More suggestions(18)
investment has been
refinement has been
enhancement has been
renovation has been
reorganisation has been
situation has been
business has been
rectification has been
development has been
perfection has been
achievement has been
modernization has been
rate has been
optimisation has been
optimization has been
reorganization has been
rehabilitation has been
improvements has been
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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