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"within a maximum of" is correct and can be used in written English.
It is typically used to describe a limit or boundary on the amount of something you can have or do. For example, you could say, "You have a maximum of three chances to get the answer correct."
Exact(60)
Within stated fault conditions, the message is routed within a maximum of (2(r − 1)) hops.
A flexible, part-time option can be complete within a maximum of seven years.
Projects are financed on an all-or-nothing basis; if a project does not meet its fund-raising goal within a maximum of 90 days, it receives nothing.
Residents claimed they had been waiting up to a year for some repairs, which the department has a responsibility to ensure are done within a maximum of 14 days, under tenancy legislation.
At a news conference on Sunday, Janan Mosazai, the Foreign Ministry spokesman, said all Afghan detainees would be turned over to the Afghan side "within a maximum of 72 hours" — something that might not be acceptable to American commanders.
A suspect must be handed over within a maximum of 90 days after arrest.
These five subregions overlap neighboring subregions within a maximum of 0.1°.
90percentt of the requests were answered within a maximum of 438 milliseconds.
Haloperidol was one of the inclusion criteria and physical examination followed within a maximum of 48 h.
High overall rates of convergence between 78 and 89% were attained within a maximum of three iterations.
Gameplay is divided into three or four scoring periods within a maximum of 48 or 60 minutes (not including potential overtime).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com