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Drupal module: comment mail

Comment mail is a very simple module that just notifies one email address of new comments, or those comments pending approval. It also provides links to approve, decline or delete the comment.

The main difference between this module and one such as notify is that it's instant and not done via a cron job. A cron job is handy for new content subscriptions, while comment notify is good when you're approving comments or just want to be notified of any spam or inappropriate comments.