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The phrase "a continual increase in" is correct and usable in written English.
It can be used when discussing trends, growth, or changes over time in various contexts, such as economics, science, or social issues.
Example: "The report indicates a continual increase in the population over the last decade."
Alternatives: "a steady rise in" or "an ongoing growth in".
Exact(36)
The changes first hit the photovoltaic industry the hardest, with its dependence on a continual increase in customer-installations.
This external dependence on energy resources has led to a continual increase in the current account deficit of Turkey.
This approach is justified by a continual increase in computing power and memory size in recent years.
No steady-state polymerization was observed, with a continual increase in the number of propagating chains at all initiator feed rates investigated.
The midpoint deflection of the plate reaches a maximum, after which the deflection decreases with a continual increase in depth of burial.
There is a continual increase in patient demand for this type of prosthesis with the development of new materials, methodologies and techniques.
Similar(24)
The longtail distribution is absent at the onset of a novel topic, and with an continual increase in scientific output the longtail distribution is generated and strengthened, causing the distribution slowly to shift towards the typical longtail distribution of all scientific output.
The fracture strain has not shown a continual increase by increasing the ferrite content.
"My feeling," says Ward, "is there is a general and continual increase in the way sex is presented as something continually available; it's a commodity now, with lads mags, you see it more in films and so on.
Rats apparently show a similar pattern of continual increase in weight well into adulthood in standard National Toxicology Program bioassay studies (NTP 1999).
Also the availability of clean water is an issue that has paralleled the continual increase in water consumption due to both global population growth and the economic development in a number of developing countries.
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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