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The phrase "a persistent rise of" is correct and usable in written English.
It can be used when discussing a continuous increase in a particular phenomenon, trend, or metric over time.
Example: "There has been a persistent rise of interest in renewable energy sources among consumers."
Alternatives: "a continual increase in" or "an ongoing growth of".
Exact(1)
When we compared levels in survivors and nonsurvivors, the former showed a persistent rise of the level to normal values in contrast to the latter, in which the levels were persistently low (34.8 ± 26% vs 40.6 ± 22% on admission and 82 ± 13% vs 41 ± 21%, P < 0.01 after 144 hours), respectively.
Similar(57)
If it did, then Europe as a whole would not have seen a stubbornly persistent rise of radical right politics over a 30-year period.
A decline in the discovery of new antibacterial drugs, coupled with a persistent rise in the occurrence of drug-resistant bacteria, has highlighted antibiotics as a diminishing resource.
The most obvious symptom has been a persistent rise in the cost of borrowing for the Irish government.
They concluded that early tracheostomy (≤ 12 days) is well tolerated in the majority of cases and did not lead to a persistent rise in ICP.
Some patients showed a persistent rise in ST at the consecutive measurement points.
In the course of catalytic combustion of hydrogen (1 5% H2 in air) in monolith reactors, strongly localized stationary and traveling hot spots arise in response to a sudden and persistent rise of gas flow velocity.
Bloomberg, who confidants say has been disturbed by the "tone and tenor" of the race and unsettled by the persistent rise of the Donald, wants to make sure America has yet another rich white New York billionaire to consider: himself.
Renal insufficiency was defined as persistent rise of pCr >1.4 mg/dl and ESRD was the point at which dialysis treatment was deemed permanent or when pCr remained above or equal to 10 mg/dl.
This persistent rise is not indicative of increasing prevalence: it follows the collection and assimilation into GBD of ever better data as new population-based studies have slowly filled the large knowledge gaps, which as recently as 2007 related to more than half the world's population [22].
But now that Chinese wages are rising, the effect of the country's rapid industrialisation on world commodity prices is pushing up rich-world inflation.Because of the persistent rise in commodity prices, inflation has not come down even though there is lots of slack in most advanced economies.
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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