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The phrase "importance increases" is correct and usable in written English.
You can use this phrase to refer to the increasing significance of something, often in the context of a comparison. For example, "As the competition increases, the importance of strategy increases as well."
Exact(11)
Assuming 8 priority classes in the system, then packets marked with index 1, i.e., j=1 belong to the least important priority class: as the index increases, the priority class importance increases.
First is the Swedish development of sound-wall blasting (to preserve rock strength), treated below under rock chambers, since its importance increases with size of the opening.
However, Georgia's importance increases in view of the fact that it acts as a supply route to Armenia.
Further, as importance increases for the individual, social impact theory suggests a greater influence to conform to group norms [25].
The depression of the elastic modulus for thin films is a consequence of the soft surface layer, whose relative importance increases as the surface-to-volume ratio increases.
In the troposphere, GW amplitudes are relatively small; however, their dynamical importance increases with height and can no longer be neglected in the middle and upper atmosphere.
Similar(47)
An important barrier, of which the importance increased during the study, was the insecurity about sustainability of funding.
The stock exchanges were deregulated in 1989, and during the 1990s their importance increased.
Gradually Chișinău's trading importance increased, though the city suffered severe destruction in the Russo-Turkish War of 1788.
With the expansion of Indian commerce in Southeast Asia between the 1st and 4th centuries ce, Thaton's prosperity and importance increased.
It had been a key commercial centre under the Volsci, and its importance increased after 59 ce, when Nero built a port there.
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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