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The phrase "submitted in" is correct and can be used in written English.
You can use it when something has been presented to a person or group for consideration, usually as part of a process. Example: I submitted my proposal in to the committee for review.
Exact(60)
Applications were submitted in September.
Scripts are submitted in advance.
Questions have been submitted in advance.
(From Jefferson to Taft, it was submitted in writing).
Should Troilo's work have been submitted in the portrait section?
(She agreed to reply only to questions submitted in writing).
"All requests for acceleration must be submitted in writing.
Claims were submitted in 2001 and funds distributed last year.
Your work must be submitted in Word or PDF format.
Below are four such responses, which were submitted in English.
The final report will be submitted in summer 2016.
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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