Website Password Verification Debugging

I've encountered an issue on my website where the password verification process is not functioning as intended. The site is built using PHP and utilizes a MySQL database. Your task will be to debug this issue and ensure that the password validation process is working correctly.

Ideal skills include:
- Proficiency in PHP
- Experience with MySQL
- Strong debugging capabilities

Please ensure to provide a clear plan for how you will approach this issue in your bid.