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The P:System.Web.SessionState.HttpSessionState.Timeout property cannot be set to a value greater than 525,600 minutes (1 year). The default value is 20 minutes.
https://msdn.microsoft.com/pt-br/library/system.web.sessionstate.httpsessionstate.timeout(v=vs.110).aspx
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O correto não seria perguntar qual o tempo padrão que pode permanecer ativa?
https://www.w3schools.com/asp/asp_sessions.asp
When does a Session End?
A session ends if a user has not requested or refreshed a page in the application for a specified period. By default, this is 20 minutes.
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O pior de tudo fiu constatar que Javascript não fazia parte do edital deste certame.