You can create scheduled automation that will trigger slack message action.
1. Trigger: when Scheduled
You can schedule your automation to run every morning (for instance).
You also can chose appropriate JQL within scheduled trigger (to set a wanted scope of issues)
2. Condition: - issue field condition
Due date is after (timeframe) 3 days ago
Action: send slack message
You should define webhook in slack to send message to wanted slack channel
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