For now, you should be able to see the tasks that are due today in your “Planned” smartlist under the “Today” bucket.
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Having to remember to move tasks from Scheduled to My Day every day is time-consuming and annoying, and having an automated way to do this would improve the app a lot. What's the point of setting dates for tasks if I still have to remember to move them between lists on the day? Or I can just see the scheduled tasks list, which stresses me out as I see all the future tasks that can't be completed yet.