Insistence on turning on direction indicators is one of Logan's features. On the one hand, such a sound serves as a good reminder to the driver about not being turned off "turning turn" on the other hand, can be very nervous, especially in the long run.
To weaken the sound, you need to find the speaker. To do so, you must look under the torpedo in the steering column. On the left and above the clutch pedal is a box containing two wiring harness. The hole in this box is the source of the sound. It can be glued with either a plaster or a piece of slasher and scotch.