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It's possible that the noise could be coming from calipers or brake pads but the noise would go away when pressing the brake. If you suspect brakes then take the car to where it would normally be acting up, get it to where it's making the noise and then slightly press the brake pedal and see if the noise stops. If it does then you know it's brake related.
If that doesn't change anything then the suspension and steering will all need to be inspected for worn and loose parts. The lower ball joints, struts and mounts, sway bar links and bushings would be the most likely parts to cause a noise like you are having. The sway bar mounts with rubber bushings which wear over time and can cause the sway bar to move excessively and make noise. The sway bar links mount to the sway bar on the bottom and the strut on top and there is a ball joint on each end that will wear out and make noise.