What does it mean to supervise a case?

The superior government has completed the investigation and rectification of key cases. The supervision of listed cases refers to the way that the higher-level government and the administrative department urge the investigation and rectification of key cases to be completed within a time limit by means of social publicity. The cases listed for supervision are major and important cases that have great influence and are strongly reflected by the people. They are included in the agenda of the first-level competent department, brought into the leadership's vision, and urged a certain department to check it out.