They rationalise it something like this, hopefully my analogy makes sense!
Let's say 200 people work on the shop floor in a UK company producing widgets. They are told by the senior management team the widgets are destined for the USA and they see a lorry take the widgets away on a weekly basis.
15 people in the company are in the senior management team. They are told by the 5 company directors the widgets are destined for the USA and they complete all the necessary tasks to ensure this happens. These tasks are overseen by the company directors who approve all paperwork and electronic communications.
The widgets never reach the USA. Where they actually go, only the company directors know. However if you asked anyone in that company 'what do you do?' they would reply with confidence and a degree of certainty 'we produce widgets that are sent to the USA.'
Of the 220 people involved, only 5 know the truth, however all 220 think they know the truth.