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The phrase "by two additional" is correct and usable in written English.
You can use this phrase when referring to an increase in quantity or amount. For example, "The budget was increased by two additional million dollars."
Exact(60)
She opened Mulberry & Vine's first location in her neighborhood, followed by two additional branches farther uptown.
The commercial use of coated strip has been widened by two additional bath compositions.
"I think the goal line can be easily controlled by two additional assistant referees".
The pictures, chosen from 114 entries out of 330 submissions, will remain on view through Dec. 22 and will be accompanied by two additional exhibits.
He posted a $250,000 bond and was released from jail last week after facing charges by two additional accusers.
The agency expects the initial studies to be followed by two additional development phases resulting in the deployment of the new computer systems for military needs, starting in 2007.
One of the show's producers, 19 Entertainment, disclosed this week that Fox was in negotiations with Simon Cowell to extend his "Idol" contract by two additional years beyond the coming season.
This is supported by two additional considerations.
Headache frequency (past 3 months) and intensity are assessed by two additional MIDAS items.
The Berlin Institute's conference was soon followed by two additional meetings.
The convergent validity is given by two additional measures: the average variance extracted (AVE) and construct reliability (CR).
More suggestions(20)
by running two additional
by three additional bids
by two additional authors
by three additional injections
by two additional periods
by three additional cruisers
by three additional diagnoses
by three additional ghosts
by three additional passages
by two additional groups
by incubating two additional
by three additional ships
by three additional spots
by three additional divisions
by three additional tests
by three additional trios
by an additional conserved
by three additional dealers
by three additional women
by two subsequent
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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