“Repeat a lie often enough and it becomes the truth”, is a law of propaganda often attributed to the Nazi Joseph Goebbels. Among psychologists something like this known as the "illusion of truth" effect. Here's how a typical experiment on the effect works: participants rate how true trivia items are, things like "A prune is a dried plum". Sometimes these items are true (like that one), but sometimes participants see a parallel version which isn't true (something like "A date is a dried plum").
After a break – of minutes or even weeks – the participants do the procedure again, but this time some of the items they rate are new, and some they saw before in the first phase. The key finding is that people tend to rate items they've seen before as more likely to be true, regardless of whether they are true or not, and seemingly for the sole reason that they are more familiar.
So, here, captured in the lab, seems to be the source for the saying that if you repeat a lie often enough it becomes the truth. And if you look around yourself, you may start to think that everyone from advertisers to politicians are taking advantage of this foible of human psychology.
But a reliable effect in the lab isn't necessarily an important effect on people's real-world beliefs. If you really could make a lie sound true by repetition, there'd be no need for all the other techniques of persuasion.