What do police usually do after being harassed by phone calls and text messages?

Hello, it depends on what the phone call and text message are. Nothing illegal generally does not constitute a crime. If you know who the perpetrator is, you can sue him through civil action. If you don't know who it is, you can call the police to investigate. If there are illegal or obscene contents in phone calls and text messages, you can call the police to investigate and deal with them. In both cases, you need to record phone calls, save text messages and repair evidence.