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The general outline of this therapy can be found here: Best natural cough treatment. This is the way how you can stop coughing for good. An additional factor to stop coughing naturally is to use Earthing for grounding the human body to get Earth's electrons to reduce inflammation.
Another way to suppress a cough is to use apple cider vinegar. Apple cider vinegar is a good way to get rid of a cough without drugs. You can heat it and drink it like tea with an added teaspoon of honey, or drink it cold with apple juice. Drink licorice root tea.