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The iPad already shows items in the forecast view by start date, but if there's such a huge gap between the start and due date, it isn't generally practical to have the item showing up every day, only the day(s) on which it starts or should be finished.

For the "remind me to go to the museum" sorts of events, an action reminding you to schedule an actual date to go might be more helpful. Put a due date on it considerably in advance of the closing of the exhibition.