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The phrase "able to achieve with" is correct and usable in written English.
It can be used when discussing the capability to accomplish something in conjunction with another factor or tool.
Example: "The team was able to achieve with the new software what they couldn't do before."
Alternatives: "capable of achieving with" or "able to accomplish with".
Exact(29)
It's better than we were able to achieve with "big data" and high-performance computers.
I am always amazed by how much Akram Khan is able to achieve with so little.
Menuhin was curious to see what Bron had been able to achieve with the "boy next door".
At least as important is the signal stability that we were able to achieve with the new probe head.
"The contrast between what he's been able to achieve with his money, and what the pensioners will have, is very striking".
"What the occupier Israel failed to achieve through its air and sea raids, it will not be able to achieve with a ground offensive.
Similar(31)
In patients with AGC, between 54 and 80%% are able to achieve hemostasis with RT [ 12– 17].
All were able to achieve control, with some variability.
"We have never been able to achieve deterrence with the threat of punishment," Mr. Bronstein said.
In all cases, the approach developed is able to achieve solutions with remarkably lower EI, demonstrating the importance of multi-criteria optimization in HEN synthesis.
With the exception of Apple Computer's PowerPC chip, made by I.B.M. and Motorola, RISC chips were never able to achieve compatibility with existing PC software, which ran on the industry-dominating chips made by Intel.
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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