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The phrase "the alteration of" is correct and usable in written English.
It can be used when referring to a change of something. For example: "The alteration of the dress code was necessary due to safety regulations."
Exact(59)
No single piece of data can be altered without the alteration of all other blocks, which would require the collusion of the majority of the entire network.
Mutagenesis is the alteration of genes.
The other bold step is the alteration of the consequences of the heroine's seduction.
The government would have to finance the research and the alteration of existing jet planes.
This isn't the alteration of a hill or a dale or a gully or a tree.
The alteration of the actual tooth is irreversible, although some patients eventually change laminates.
The alteration of the schedule could also have an impact on the races.
Perhaps more significant over the long term is the alteration of Cisco's relationship with its longtime allies.
— momentarily cut off the alteration of her voice, leaving her, in remarks to the audience, briefly sounding like herself.
The report reveals an appalling systemic cover-up, including the alteration of over 100 statements and a campaign of misinformation.
He and Guo were shocked by the red tape that governs the alteration of a historic property in Paris.
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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