Your ISP (home or work internet service provider) is unlikely to allow sending of commercial email. For this reason ListMail should generally not be installed on your home or work computer.
Certain web hosts do allow sending of commercial list email to a limit. Some of those hosts are mentioned
here. Beyond their limit (with ThirdSphere it's 25,000 per day for $25/mo) shared hosting is not a good choice and it is recommended to obtain a
dedicated server for about ~$70/mo with a hosting control panel (Plesk is recommended).
ListMail's SMTP method of sending is far more efficient for a web host to handle than messages sent with PHP mail. A good host with a fair email policy should have no problems allowing the use of their SMTP server as long as you act within their limits.
I have only heard of one host in several years that has recommended PHP mail over SMTP for list email.
If you currently have a shared hosting package that can be expected to allow list email I recommend contacting them for exact details about what their limits are.
Regards