Automated Log Rotation and Compression Pipeline

Create a robust Bash script that automatically manages log files across multiple directories, implementing advanced log rotation, compression, and archival strategies. The script should: 1) Rotate logs daily, 2) Compress logs older than 7 days using gzip with maximum compression, 3) Delete logs older than 30 days, 4) Generate a detailed rotation report, and 5) Send email notifications if log file sizes exceed 500MB or rotation encounters errors. Include error handling, logging of script actions, and support for different log file naming conventions.