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The phrase "already high levels of" is correct and usable in written English.
It can be used when discussing existing quantities or intensities of something that are notably elevated.
Example: "The study revealed that there are already high levels of pollution in the river, which is a cause for concern."
Alternatives: "previously elevated levels of" or "existing high levels of".
Exact(48)
The Algerian government has promised to step up the already high levels of security surrounding such plants.
Over the course of 2001, those changes should cause consumers to spend more money and even to add to their already high levels of debt.
They have borrowed to survive from friends, from micro-credit companies and banks and from loan sharks, increasing already high levels of indebtedness.
Private-equity groups do not seem to be put off by the industry's already high levels of debt and its cyclical nature.
A dispute over whether tsunami emergency aid funds should be autonomously administered by the Tamil Tigers in their area of control meant that already high levels of distrust were further entrenched.
Low inflation added to the problems of the troubled countries on the fringes of the euro area, where it would increase the real burden of already high levels of public debt.
Similar(12)
The budget also pushed the state's already high level of debt even higher, they said.
The Ukraine nuclear reactors are reaching the end of their designed life, adding to the already high level of risk.
His first novel, "The Long Home," was published in 1999 and revealed an already high level of artistic maturity.
This increased requirement for fuel oil aggravates the nation's already high level of dependence on foreign sources of supply.
No crystallinity was observed in the blend due to the already high level of transesterification introduced by extrusion without treatment.
More suggestions(17)
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com