Function log_removed 

pub fn log_removed(names: &[String]) -> Result<()>

What: Append removed package names to an audit log under the logs directory.

Input:

• names slice of package names to append (one per line).

Output:

• Ok(()) on success; otherwise an I/O error.

Errors

• Returns Err when the logs directory cannot be accessed or created
• Returns Err when the log file cannot be opened or written to

Details:

• Appends to logs_dir/remove_log.log without timestamps.