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The phrase "and the most efficient" is correct and usable in written English.
You can use it when comparing something to indicate that it is the best in terms of efficiency among other options.
Example: "This method is not only cost-effective but also the most efficient way to complete the project."
Alternatives: "and the most effective" or "and the best-performing".
Exact(58)
Four commercial siRNAs were tested for silencing efficiency of BRD2 and BRD4 genes, and the most efficient siRNAs were chosen for further experiments (see Figure S2).
By last year, that had risen to 16 piglets per year, and the most efficient operators got 22.
Until now, probably the cleanest and the most efficient method of producing hydrogen has been MEC.
And the country is pushing equally hard to build nuclear reactors and the most efficient types of coal power plants.
The diamond film proved to be both the most robust and the most efficient of the three.
This struck us as being the quickest, the fastest, and the most efficient way of getting large-scale additions to our collections online for free use".
Medicare, he said, would subsidize premiums, and the most efficient health plans would pass on their savings to consumers, so patients would have a financial incentive to enroll.
Governments cannot and do not need to do everything; they need support to ensure impact, safety, and the most efficient use of resources.
PSCs still exhibiting stability problems and the most efficient absorbers incorporate lead (ca. 13 mg m-2).
The process conditions were optimized with the quadratic model and the most efficient conditions were confirmed by the empirical results.
Similar(1)
Nemalite was the most cytostatic particle and the most efficient at inducing squamous metaplasia.
More suggestions(15)
and the most profitable
and the most proficient
and the most economical
and the most efficacious
and the most active
and the most efficacy
and the largest efficient
and the most streamlined
and the most deceptive
and the most extreme
and the most annoying
and the most pleasant
and the most unlikely
and the most equal
and the most wrong
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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