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The phrase "are carried forward" is correct and usable in written English.
It can be used in contexts where information, tasks, or items are being transferred or continued from one period to another.
Example: "The results from last quarter are carried forward into the new fiscal year for further analysis."
Alternatives: "are transferred" or "are continued".
Dictionary
Exact(38)
(These, too, are carried forward by helicopter, in slings).
Losses above that are carried forward to future years.
The tax and the deduction are carried forward to Form 1040.
The tax and the deduction are carried forward to the Form 1040.
These losses are carried forward and can be applied to reduce future income tax.
Interest income (Line 8) and dividend income (Line 9) are carried forward from Schedule B. Samuel also had $18,129 (Line 12 and Schedule C) of self-employment income from giving private music lessons.
Similar(22)
The balance is carried forward.
Remaining losses can be carried forward to future years — indefinitely.
The restriction has been carried forward each year since then.
The chronology is carried forward through Ms. Sherman's music.
Her lessons in style and compassion will be carried forward.
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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