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Any task that does not have a start date set, will automatically appear in your list. The start date is the trigger that makes things become visible. So set a start date for today (the day you complete the task), set the repeat to 1 month and then check it completed. This should create a new task with a start date one month from today (the day of completion). This new task will be greyed out inactive so it won't be visible in the context view.