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The phrase "achieved higher levels of" is correct and usable in written English.
It can be used when discussing progress, improvement, or success in a particular area or field.
Example: "The team has achieved higher levels of productivity since implementing the new software."
Alternatives: "reached greater heights of" or "attained increased levels of".
Exact(27)
And they have achieved higher levels of growth and managed lower unemployment rates.
The fund tracks an LGIM-designed index of around 350 of the UK's largest companies and will allocate more to firms that have achieved higher levels of gender diversity, with the aim of driving up standards in this area.
Specifically, female perceivers achieved higher levels of accuracy, but only with respect to normative accuracy or perceiving what others are like in general.
Furthermore, it was observed that the children who were implanted under the age of 3 achieved higher levels of speech perception performance.
His infatuation with US-style private healthcare dates from at least 2002 after a BMJ article claiming that California-based Kaiser Permanente achigher higher levels of performance at roughly the same cost as the NHS – a claim later shown to be false – prompted him to visit California.
The BXR bioreactor achieved higher levels of cellularity and confluence (1.4 2.5x, p < 0.05) in large 785 macroporousrouscaffoldsds not achieved in the other bioreactors operating in optimal settings.
Similar(33)
Hundreds of companies have achieved high levels of growth and profitability nonetheless often by seeing the potential in those challenges.
Indeed, research from Fletcher Research indicates that big spenders such as Freeserve and Egg have achieved high levels of consumer awareness through traditional advertising.
Five fundraising teams, Cancer Research UK, British Red Cross, NSPCC, Save the Children and the Royal British Legion, were asked how they had overcome challenges and achieved high levels of success.
We also achieved high levels of participation by the practices.
Indeed, numerous academic studies have found that individuals with longer organizational tenures tend to achieve higher levels of performance.
More suggestions(17)
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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