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The phrase "has been increasing faster" is correct and is very commonly used in written English.
For example: "In recent years, the number of people living in poverty around the world has been increasing faster than ever before."
Exact(13)
Furthermore, intangible investment has been increasing faster than the rest of business output (see chart).
On its website, the organisation notes: "For several years, population has been increasing faster than many vital non-renewable and renewable resources.
Superior American growth in large part reflects the fact that America's population has been increasing faster and that Americans work longer hours than Europeans.
And a more recent survey by the same paper found that in the suburbs of New York teenage crime has been increasing faster than the teenage population, and sometimes even faster than teenage crime in the nation as a whole.
At public four-year colleges, where the net price has been increasing faster than the sticker price, the net tuition is about $2,900, or $3,700 less than the published tuition.
Spending on retirement programs, principally Social Security, is the steadiest, but it has been increasing faster than the rate of gross domestic product growth and considerably faster than inflation.
Similar(47)
Coal output has been increasing fast at home; imports are readily available from the world's two biggest exporters, Australia and Indonesia, and Mongolia is developing the world's largest untapped coal deposit just over the border.
The adoption of Google Apps at the enterprise level has been increasing fast, and with Apple and others eating into the revenues it sees for software licensing, it clearly wants to make a big push to make up the difference in cloud services.
Recent years, the number of sequenced mitochondrial genomes has been increasing fast due to rapidly growing sequencing capacity [ 6].
At the same time, "credit sales have been increasing faster than overall sales".
Women's earnings have been increasing faster than men's since the 1970s.
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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