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The phrase "are successively" is correct and usable in written English.
It can be used to describe actions or events that occur one after another in a sequence.
Example: "The tasks are successively completed, leading to the final project outcome."
Alternatives: "are consecutively" or "occur in succession".
Dictionary
are successively
adverb
In a serial or successive manner; one following another.
synonyms
Exact(60)
Letters are successively printed in a two-part operation.
Subcritical and transcritical conditions are successively considered.
Time itself also deteriorates, for the ages are successively shorter.
Two complementary problems inspired from customer surveys are successively considered.
Five machining patterns are successively performed on a cubic workpiece.
These barriers are, successively, the fuel cladding, the reactor vessel, and the shielding.
In the other method separate plates, each carrying a different colour, are successively overprinted on a single sheet of paper.
These findings give new insight into the representations constructed by the face patch system and how they are successively transformed.
Its principle, design, manufacture, measurement and performance validation are successively discussed.
Therefore, alkaline solution and Gly-HCl solutions are successively applied to elute AbGEN and AbCAP, respectively.
Laboratory tests and field tests of the prototype are successively performed.
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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