"To pursue an investigation" means to actively and diligently carry out a detailed examination or inquiry into a particular matter or situation in order to gather information, find evidence, or uncover the truth. Full definition
The police statement that they can not pursue an investigation should not be interpreted as a statement of law, it's probably a statement of policy and practicality. (law.stackexchange.com)
Research / creation (R / C) is a field of knowledge - based - production emerging from the increasing number of artist - researchers pursuing investigations in creative fields within academic settings. (chronusartcenter.org)
Whatever movements bring to our consciousness the ability to see various social dimensions in the activity of preaching, a commitment to pursue this investigation gains its urgency in theology itself. (religion-online.org)