When induced to give spoken or written support to something they doubt, without bribery or coercion, people will

begin to believe what they are saying.

Explanation:

Inducement is a term that describes a form of persuasion in which individuals are persuaded or encouraged to do or believe something, most specifically, things they have doubt in them primarily.

Hence, in a case, where people are induced to give spoken or written support to something they doubt, without bribery or coercion, people will experience a form of cognitive dissonance which will lead them to begin to believe what they are saying.