I would recommend you look at the oil control valve on the driver intake side. Attached diagrams below. If the solenoid is faulty or your low on oil it will cause timing issues and misfires.
2004 Infiniti G35 Sedan
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V6-3.5L (VQ35DE)
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Components
Vehicle Powertrain Management Computers and Control Systems Variable Valve Timing Solenoid Description and Operation Components
COMPONENTS
IVT CONTROL
SYSTEM DESCRIPTION
System Description
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This mechanism hydraulically controls cam phases continuously with the fixed operating angle of the intake valve.
The ECM receives signals such as crankshaft position,  camshaft position, engine speed, and engine coolant temperature. Then, the ECM sends ON/OFF pulse duty signals to the intake valve timing control solenoid valve depending on driving status. This makes it possible to control the shut/open timing of the intake valve to increase engine torque in low/mid speed range and output in high-speed range.
IVT CONTROLÂ SOLENOID VALVE
Component Description
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Intake valve timing control solenoid valve is activated by ON/OFF pulse duty (ratio) signals from the ECM.
The intake valve timing control solenoid valve changes the oil amount and direction of flow through intake valve timing control unit or stops oil flow.
The longer pulse width advances valve angle. The shorter pulse width retards valve angle.
When ON and OFF pulse widths become equal, the solenoid valve stops oil pressure flow to fix the intake valve angle at the control position.
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Friday, October 11th, 2019 AT 11:36 PM