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The phrase "improve efficiency of" is correct and can be used in written English.
You can use it when you want to describe an action that will improve the effectiveness of something. For example: "We need to find ways to improve the efficiency of our production process."
Exact(60)
Recommendations are presented to inform future program design, improve efficiency of resource allocation and how to render efficient and effective implementation delivery scaled up at national coverage.
The first section includes an on-message pledge to "improve efficiency" of policies to support renewable energy, but this does not guarantee funding cuts or stability, or reveal which will be the favoured technologies.
Sony Video Taiwan, which manufactures video, DVD and laser disc players, will be closed in December to reduce costs and improve efficiency of the Sony group, Kunio Yamamoto, a board member, said from Sony headquarters in Japan.
Neodymium, dysprosium and praseodymium improve efficiency of high power magnets, electric vehicles and wind turbines.
The EU Commission may establish minimum standards to improve efficiency of energy-related products (ErP).
Using a low flowrate can improve efficiency of extraction, but make it long-lasting.
Here we report a novel approach to improve efficiency of piPSCs generation.
Extendable nozzles, if able to change the rocket nozzle in flight, can improve efficiency of the engine over a larger envelope of altitude.
Proper task arrangement is helpful to improve efficiency of engineering and reduce hazard.
To improve efficiency of learning and patient safety, research in simulation is essential.
3D CAD is replacing 2D CAD to improve efficiency of product design and manufacturing.
More suggestions(16)
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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