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The phrase "achieve higher levels of" is correct and usable in written English.
It can be used when discussing goals, improvements, or advancements in various contexts, such as education, performance, or personal development.
Example: "Our aim is to help students achieve higher levels of academic success through innovative teaching methods."
Alternatives: "reach greater heights of" or "attain elevated standards of".
Exact(60)
Indeed, numerous academic studies have found that individuals with longer organizational tenures tend to achieve higher levels of performance.
HBCUs must challenge themselves to achieve higher levels of excellence and sustained outcomes by transforming their self-understandings.
Second, the work forces of societies with low-to-moderate fertility rates often achieve higher levels of productivity than do higher fertility societies.
When women have a say in their reproductive health and family planning, they achieve higher levels of education and career advancement.
"Greece will only be able to achieve higher levels of growth when it becomes more competitive again".
Access to the internet can help transform people's lives; it can help people to access public services more easily, achieve higher levels of educational attainment and improve employment prospects, which in turn can boost local economies.
When we compare the results from two different agglomeration inhibitors, the Al-based additive is shown to achieve higher levels of inhibition versus a Ca-based additive.
The Aspen Presidential Fellowship for Community College Excellence aims to develop a cadre of exceptional leaders who can transform community colleges to achieve higher levels of student success, while maintaining broad access.
I'm actually -- based on what I've seen in the city bus market, I think we're going to achieve higher levels of penetration in commercial vehicles with EV, then we are on the consumer side.
Chemical engineers are turning to multiscale modelling to extend traditional modelling approaches into new application areas and to achieve higher levels of detail and accuracy.
Anchorage systems, which postpone or prevent debonding, have proven to be an effective method to achieve higher levels of FRP utilization.
More suggestions(15)
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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