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The phrase "achieve the maximum possible" is correct and usable in written English.
It can be used in contexts where you want to express the idea of reaching the highest level of success or performance in a given situation.
Example: "Our goal is to achieve the maximum possible efficiency in our production process."
Alternatives: "reach the highest possible" or "attain the utmost possible".
Exact(37)
But he assures me his company is equally fierce when working on behalf of local authorities to achieve the maximum possible amount of affordable housing: "We give everyone a kicking no matter which side we're on.
The OTA integrator is designed to achieve the maximum possible SNDR.
In this case, both PQ and TC achieve the maximum possible coding gain.
It is therefore more reasonable to give more emphasis on NIRA's parameter, in order to reduce the communication delays and achieve the maximum possible throughput.
In order to achieve the maximum possible concentration in the extract, extraction was performed at high temperatures and columns were connected consecutively in a series.
Therefore, a mechanism which selects the best channel, in terms of interference, among all available channels, is needed in order to achieve the maximum possible network performance.
Similar(23)
At the age of forty-six, Stier decided to devote herself full time to the test, with the goal of achieving the maximum possible score of 2400.
"That is why we are using this investment in the Global Fund to secure a demanding performance agreement to make sure UK aid achieves the maximum possible impact.
However, when comparing the Average AME, is ranked the second after OMA which achieves the maximum possible value.
We develop a theoretical framework for achieving the maximum possible speed on constrained digital channels with a finite alphabet.
These results open the way for an understanding of the peculiarity of the VLS mechanism in PVD systems, such as EBE to easily control the NWs growth mechanisms in achieving the maximum possible axial rate for both systems.
More suggestions(16)
establish the maximum possible
deliver the maximum possible
realize the maximum possible
achieve the maximum expected
achieve the maximum monthly
achieve the maximum potential
establishing the maximum possible
making the maximum possible
achieve the maximum cytoreductive
achieve the maximum attainable
realizing the maximum possible
achieves the maximum possible
achieve the maximum weighted
attaining the maximum possible
attained the maximum possible
achieve the maximum feasible
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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