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The phrase "had increased significantly" is correct and usable in written English.
You could use it to describe an increase in anything from income to population figures. For example, "In the last ten years, the population in this small town had increased significantly."
Exact(60)
The German threat had increased significantly.
A spokesman for the department said enforcement had increased significantly.
Applied Materials, a leading supplier of chip-making equipment, also said new orders had increased significantly.
At 1-year post-extraction, the strain magnitudes had increased significantly to near pre-extraction values.
These figures reflected the fact that the number of persons receiving treatment had increased significantly.
In his written responses, Mr. Page, the company president, said spending on safety-related capital projects had "increased significantly over the past five years".
In Vietnam, an obscure plant virus has caused annual output to start leveling off; it had increased significantly each year until the last three years.
Yet the committee's report showed that the proportion of low paid jobs in those four worst-paying occupations had increased significantly since the late 1990s.
None of the sites showed a reduction in fire danger and 16 of them showed that fire weather had increased significantly.
Wearing a protective boot and hobbling on crutches, Easley said that the pain had increased significantly overnight and that the swelling had spread into his foot.
By July 4 the number of renters for the season had increased significantly from the year before, according to Diane Saatchi, a broker with Dayton-Halstead Real Estate.
More suggestions(13)
had risen significantly
had increased drastically
had gained significantly
had increased noticeably
had broadened significantly
had increased considerably
left increased significantly
had increased dramatically
removed increased significantly
had grown significantly
had improved significantly
had developed significantly
had been significantly
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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