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The phrase "a prolonged increase in" is correct and usable in written English.
It can be used when discussing a sustained rise or growth in a particular variable or metric over a period of time.
Example: "The study observed a prolonged increase in temperature over the last decade, indicating significant climate change."
Alternatives: "an extended rise in" or "a sustained growth in".
Exact(26)
With the economy beginning to slow, the current expansion has a chance to become the first sustained period of economic growth since World War II that fails to offer a prolonged increase in real wages for most workers.
Project funded by European Commission DG Research 6th RTD Programme [20] provides for some estimated impacts on the European economy, including transport, due to a prolonged increase in energy prices.
In a patient confirmed to have liver tumours, and displaying a higher uptake of 111In-octreotide in the tumour versus normal liver tissue, the nNUF remained low, despite a prolonged increase in ThI (Figs. 2 and 3).
In contrast, in cells expressing the mutant Mpk1, the same treatment caused a prolonged increase in the phosphorylation, indicating that the activation of the pathway was sustained.
Use of the less robust FLOG criterion seems to suggest a prolonged increase in diversity that agrees far less with the quantitative fossil record.
These results suggest that the long-lasting increase in synaptophysin-GFP puncta is due to a prolonged increase in the assembly of new puncta and also stabilization of existing puncta, both of which involve protein synthesis.
Similar(34)
However, in the case of children, almost all AKI occurs within the first few days after PICU admission; therefore, it is unlikely that a substantial proportion of patients with a slow, prolonged increase in SCr were misclassified as having "true" AKI.
Their results have demonstrated that 1,25(OH)2D3 induces, in a concentration- and time-dependent fashion, a sustained, prolonged increase in concentration of intracellular Ca2+ (the apoptotic Ca2+ signal) in mature mouse 3T3-L1 adipocytes.
Control polycaprolactone (PCL) spheres failed to stimulate a similar prolonged increase in VEGF secretion.
Thus, axon injury causes an immediate inhibition in growing MTs, dependent on EFA-6 and correlating with its relocalization, followed by a more prolonged increase in growing MTs, dependent on the function of TAC-1 and ZYG-8.
This was further increased even by weaker methods of alkalinization, so that high glucose in a high pH medium (Table 1) or Cl--free medium (data not shown) resulted in a prolonged increase of pHi to 7.5 or higher.
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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