The police have investigated the matter but no further action will be taken.

Will it investigate the matter and take the necessary action?

Later in the day, the office said it was investigating the matter.

We are investigating the matter you have just told us about very carefully.

In addition, an independent committee is to investigate the matter.

At which point I went to investigate matters for myself.

It would not hurt, at least, to investigate the matter.

When a crime is reported to the police they will take a statement and investigate the matter.

She was in no mood to continue investigating the matter now.

It was not clear whether the department is continuing to investigate the matter.