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For syndicated shows, the slug may be a short episode synopsis that the local station gets in the syndication deal. The local station will tack on a card at the end showing the time the show will run. Example:
Syndication Voiceover: "Hilarity Ensues as Bobby gets a new pet!" Bobby:" "Mom look what I got!" (canned laughter) Syndication Voiceover: "On the next Show X!" Local Voiceover: "Tonight at 5 on Station X!"
Related to Tonight Someone Dies.
Websites, news and blogs in particular, use a slug for a mnemonic URL for content. For example this exact TVTropes page's slug is TheSlug.