2013 Jx35 makes a clucking noise in the rear in of the car when you turn right or left
Have you checked the trunk for the presence of a chicken or two?
I’m sorry… The Devil made me type that.
These are the rear suspension components in your JX35.
You need to bring the vehicle to a shop, and have it inspected to determine what’s causing a clunking noise.
VDC was being facetious above, but checking the trunk for something loose makes sense before presuming it is more complicated. If nothing obvious, remove everything in the trunk including the spare tire and jack, and from the rear seat area, and see if that makes any difference. If not, then it is likely either a suspension component, or some part has come loose like an exhaust pipe hanger. Struts and anti-sway links and bushings seem to be a pretty common cause for this symptom.