"maintain records" is correct and usable in written English.
You can use it when referring to keeping records of something. For example, "The company must maintain records of all orders placed."
(2 Civil penalty for failure to establish or maintain records.
Manage and maintain records of all financial transactions.
Importers would have to maintain records showing the "chain of custody" of the drugs.
Nor does the Secretary of State maintain records related to Iowa Caucus participation.
Repeal of a bill that mandated that employers maintain records of workplace injuries.
And it required gun manufacturers and dealers to be licensed and maintain records of sales.
Lawyers' and doctors' offices maintain records for a certain period to protect themselves against malpractice suits.
maintain records that are updated biennially documenting such agency's compliance with this subsection.
It is the responsibility of the department to maintain records for this program.
OSNs maintain records of the lives of users, thereby providing potential resources for journalists, sociologists, and business analysts.
The Labor Department and the Office of Personnel Management maintain records on the number of federal employees.
