Don't worry, the police will try their best to investigate after filing the case.
However, the police force is limited and the focus is different. For example, you belong to a public security case, but at present, the police station you reported has criminal cases, such as intentional injury causing death and fugitives fleeing to their own jurisdiction. In order to ensure the safety of one party, your case will be relatively delayed in the case of insufficient police force.
For the progress of the case, you can always consult the case handlers you reported.