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The phrase "achieved by improving" is correct and usable in written English.
It can be used when discussing methods or processes that lead to a positive outcome through enhancement or betterment.
Example: "The project's success was achieved by improving communication among team members."
Alternatives: "attained through enhancement" or "realized by advancing".
Exact(60)
The mentioned improvements are expected to be achieved by improving the aircraft airframe and engine efficiency.
Improving health worker retention while at the same time respecting their individual rights can be achieved by improving working conditions in the donor country itself.
Mr. Kawai said that could be achieved by improving production efficiency and reducing the use of expensive materials like platinum.
This can be achieved by improving the pipeline below board level and by inspiring company leaders to appoint more women to executive and non-executive directorships.
The industry declined to respond directly but argued that significant emissions reductions could be achieved by improving the efficiency of coal-fired plants using "high efficiency" coal.
I believe it is crucial to increase productivity, and this can only be achieved by improving education and a knowledge-based economy.
This he said should be achieved by improving China's social safety net, so that Chinese families would feel less need to squirrel away funds to cover health care and old age.
Additional savings can be achieved by improving efficiencies within the IT equipment network.
Therefore, TSV formation without the voids can be achieved by improving related failure modes.
The flat III-nitride grating surface can be achieved by improving the growth condition.
Congestion management can be achieved by improving available transfer capability (ATC) of the network.
More suggestions(15)
achieved by ameliorating
achieved by boosting
provided by improving
reached by improving
attained by improving
achieved by implementing
attainable by improving
achieved by greater
achieved by improvement of
achieved by amelioration
gain by improving
success by improving
outcome by improving
made by improving
making by improving
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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