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The phrase "are specially important" is correct and usable in written English.
You can use it when emphasizing the significance of certain elements or factors in a particular context.
Example: "In this study, the results of the experiment are specially important for understanding the underlying mechanisms."
Alternatives: "are particularly important" or "are especially significant".
Dictionary
are specially important
adverb
For a special purpose.
synonyms
Exact(2)
In particular, in these books it is pointed out that such inequalities are specially important for a great variety of applications, e.g., to the theory of function spaces, interpolation theory, approximation theory, partial differential equations, etc.
Upgrades are specially important on maps where resources are hard to get or are limited.
Similar(58)
Two fresh migrants are here, and one of them is specially important - the cuckoo.
The work is specially important this year, because at least one-third, and possibly one-half, of the delegates will be contested.
Action theory, Subfield of philosophy of mind that is specially important for ethics; it concerns the distinction between things that happen to a person and things one does or makes happen.
This guideline is specially important when defining the reference distance for PLE measurements [15].
This is specially important when variables have highly skewed distributions as is typically found in variables describing human activity and behavior.
This is specially important since for some number of receivers, Heuristic 1 can run considerably faster than Algorithm 1, which will be shown in the coming figures shortly.
The phenomenon is specially important at the beginning of the flash time when the viscosity of the paint is still relatively low.
Rate dependent asymmetric phenomena of such alloys is specially important at high homologous temperature because of the appearance of one or more long period superstructures.
This is specially important when GNSS are used in safety-critical or mission-critical operations, such as their integration into civil aviation or in the synchronization of power distribution networks [2].
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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