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The phrase "a persistent increase in" is correct and usable in written English.
You can use it when discussing a continuous or ongoing rise in a particular metric or phenomenon over time.
Example: "The report highlighted a persistent increase in global temperatures over the past century."
Alternatives: "a continual rise in" or "an ongoing growth in".
Exact(60)
In Fig. 4, the effects of a persistent increase in productivity here by one percent are displayed (a shock persistency parameter of 0.9 is assumed, a value that is close to values that empirical studies on productivity shock typically find and in the range of values that is also used in many DSGE models).
As well, IMD1 53 caused a persistent increase in heart rate.
This would: "...yield a persistent increase in GDP by crowding in private investment and would also stimulate growth in the rest of the euro area".
Hypertension, or high blood pressure, is characterized by a persistent increase in the force that the blood exerts upon the walls of the arteries.
Here, we use 35 years of satellite observations from the West African Sahel to reveal a persistent increase in the frequency of the most intense MCSs.
This condition begins early in life and is due to iodine deficiency or to other factors that decrease thyroid hormone secretion and result in a persistent increase in thyrotropin secretion and therefore persistent thyroid gland stimulation.
The result, ultimately, of this vicious circle is a persistent increase in borrowing costs that, over time, begins to supersede an already sluggish rate of growth and become what economists call a debt trap.
The fatal stabbing of the cabby, Baurihama Doukoure, 37, of the Bronx, was one of six killings in 24 hours, the most in any 24-hour period this year in the city and another indication of a persistent increase in the city's homicide rate during the last two years.
"Contrary to the conjecture that Medicaid would get people to [move] out of the emergency room and to the primary care physician, we're seeing a persistent increase in emergency room use," says Amy Finkelstein, the John and Jennie S. MacDonald Professor of Economics at MIT. Acquiring health insurance does not lead to drop in emergency room usage.
"Contrary to the conjecture that Medicaid would get people to [move] out of the emergency room and to the primary care physician, we're seeing a persistent increase in emergency room use," says Amy Finkelstein, the John and Jennie S. MacDonald Professor of Economics at MIT, who is a co-author of a new paper on the findings.
Our study demonstrated that a persistent increase in CLI, EVLWI, and fluid balance in critically ill patients is associated with poor outcome.
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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