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Discover Ludwig"attainable by" is a correct phrase in written English.
It can be used when describing something that can be achieved or reached. Example: The company's goal of expanding internationally is attainable by developing new partnerships and improving their global marketing strategy.
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It may inspire desperate enterprizes for the attainment of what is not attainable by legitimate means.
"A means attainable by all for valuing the universal language of art".
But you look for that certain something that's not attainable by teaching".
These civil, social and political objectives in modern society are not attainable by armed force.
Different carrier frequencies are attainable by varying the length of the piezoelectric element.
Unlike many initial public offerings, however, Facebook shares may be attainable by the masses.
The fundamental knowledge of the world, transcending ordinary consciousness, is not equally attainable by everyone.
Redemption is, I think, beyond the law, and thus attainable by each person according to their own efforts and needs.
This appears to be the maximum pressure level attainable by using WC anvils.
§ 420.127 Effluent limitations representing the degree of effluent reduction attainable by the application of the best conventional technology (BCT).
Effluent limitations representing the degree of effluent reduction attainable by the application of the best available technology economically achievable (BAT).
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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