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It should keep the completed count down for the user until the user deletes it or resets it. On the public display, maybe a 3 - 7 days. The user could set that but no more then the max time of 7 days. The max time could be determined by the webmaster depending on the usage. As for multiple count downs. The public display yes, however, for the user no. The user could only have 1 countdown at a time. The public display could also be only limited to the nearest times. For example. you have 10 users. At the current time 4 of the count downs are 10 days from expiring, 2 are 5 days, another is 3 days, 2 are 1 day, and the last is 5 hours away. Only sdisplay the last 4. Maybe allow the webmaster to limit the number to display, but no more then 10. Or have the web master choose the number of days or hours away the event end is to display.
As for the continual count down, that would be cool, but not a requirement. Maybe update when the page is refreshed.
cb