The part of sentence "maintain a document" is correct and usable in written English.
You can use it when you need to emphasize the importance of keeping a record of something. For example: "It's important to maintain a document of all transactions to ensure that all parties are held accountable."
The Club maintains a document collection, mostly of correspondence with its artists, at the Newberry Library.
At the district level, thirty (88%) districts maintained a documented list of referral laboratories and twenty nine (85%) acknowledged a mechanism for timely referral of samples.
Members of the Second Battalion, Seventh Marine Regiment, maintain a Google document of contact information for emergencies.
It will also require its engineers to maintain a privacy design document for every new project before it is launched.
Adopting a new process requiring every engineering project leader to maintain a "privacy design document" that records how user data is handled and is reviewed regularly by managers and an independent internal audit team.
For all job applicants who are not hired, must the employer maintain a case file documenting its investigative findings and its rationale for preferring another candidate?
The point, of course, is that if agents aren't required to maintain a paper trail documenting their activities, there can be no way to hold the government accountable for subsequent abuses.
Additionally, it can improve visibility if each team maintains a rolling document detailing what they're working on and how things are progressing.
They realised that they were often reading the same publications, and began maintaining a shared document online to record quick summaries of articles they'd read, and the idea of MiniManuscript was conceived.
