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The phrase "a consistent increase in" is correct and usable in written English.
You can use it when describing a steady or regular growth or rise in a particular metric or variable over time.
Example: "The company has seen a consistent increase in sales over the past three quarters."
Alternatives: "a steady rise in" or "a continual growth in".
Exact(59)
The American Booksellers Association noted a consistent increase in new store openings over the past seven years, with growth of more than thirty per cent.
Pew said that among the six states with the largest numbers of undocumented migrants, only Texas had a consistent increase in illegal immigration from 2007 to 2011, due in part to its stronger economy.
A consistent increase in recognition performance has been observed.
"[F]rom 1998 to 2008, there was a consistent increase in scientific production...
Nano-modified composites demonstrated a consistent increase in the damping ratio and inter-laminar strength.
A consistent increase in the plant dry matter was observed by raising the levels of the applied MWC (Table 4).
In Fig. 7 b we can see that up to 100 objects, there is a consistent increase in CPU usage.
For example, within the respiratory burst data, there is a consistent increase in respiratory burst identified by sepsis studies.
The first, aggregated into quarters, shows a consistent increase in the traffic demand from quarter to quarter.
A consistent increase in demand for special tools designed to enhance an efficient honing of engine cylinder bores is observed.
A consistent increase in benzene solubilisation, with respect to pure water, is observed when micellar structures are formed.
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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