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The phrase "achieve a lower" is correct and usable in written English.
It can be used when discussing the goal of reaching a reduced level or amount of something, such as costs, emissions, or scores.
Example: "Our goal this quarter is to achieve a lower cost of production to increase our profit margins."
Alternatives: "reach a reduced" or "attain a lesser".
Exact(60)
Evidence suggests that accounting-motivated foreign direct investments achieve a lower rate of return than investments in the United States.
Such extravagances cost money, but no matter: Hermès artisans never skimp to achieve a lower price point, something they fear that LVMH would press them to do.
Labour peers in the House of Lords are considering tabling a separate amendment that would achieve a lower voting age during the referendum through other means.
If the government then used this (short-run) relationship to try to achieve a lower unemployment/higher inflation outcome than private sector agents had been expecting as the norm, then, after some lag, expectations would adjust upwards.
By all indications, the Chinese managed to achieve a lower price than the Russians had wanted, and the deal will mean a loss for Russia, at least for the first several years after operations start in 2018.
The research also found that students at elite universities were likely to achieve a lower class of degree than students at less selective universities with similar A-level and GCSE results.
And though he failed to offer all the savings hoped for in 2014, Mr Noonan expects to achieve a lower budget deficit next year than the programme asked for.
For starters, you will achieve a lower cost of capital when the risks are better understood by a specialist lender.
Results show that the proposed scheme can achieve a lower MSE and lower MAD.
Meanwhile, it also allows us to achieve a lower noise figure (NF).
The simulation results show that it is able to achieve a lower bandwidth blocking probability.
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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