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"effective improvement" is grammatically correct and can be used in written English.
You can use it when describing a successful change or modification that has led to noticeable progress or enhancement. Example: The new marketing strategies have resulted in an effective improvement in sales, with a 20% increase in profits compared to last quarter.
Exact(60)
The ACHEON propulsion system can be improved by optimizing the inlet by an effective improvement of the inlet section, as verified by Trancossi and Madonia [46].
One simple and effective improvement would be ending no-fault notice and eviction.
In "Kitchen Mode," recipes are presented in extra-large type, a basic but effective improvement.
Paradoxically however it will become one of the most effective improvement tools the NHS has ever seen, one which puts continuous pressure on all organisations, which highlights excellence while shining the light of transparency onto sub-standard performance.
The new-economy theorist Richard Florida once praised the innovative practices of Best Buy, the electronics retailer, by noting that, after a sales associate made a small but effective improvement to a display rack, the corporation implemented the change nationwide.
This is computationally simple yet effective improvement to the conventional PSO algorithm.
The obvious effective, improvement and the total effective rates were 40, 43 and 83%, respectively.
Six Sigma is one of the most effective improvement strategies for overall operational excellence.
It demonstrates that the three-dimensional reaction zone causes the effective improvement of performance.
Adding MAPP showed the most effective improvement of the mechanical properties of the PP composites.
Utilizing suitable methods for treatment of seawater results in effective improvement in water shortage.
More suggestions(15)
effective advancement
potent improvement
genuine improvement
effective renovation
efficient improvement
successful improvement
effective rectification
effective development
effective refinement
effective developments
efficacy improvement
effective improvements
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cost efficient improvement
effect improvement
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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