Contemplated plants include a NGL recovery portion and a LNG liquefaction portion, wherein the NGL recovery portion provides a low-temperature and high-pressure overhead product directly to the LNG liquefaction portion. One resistor of the resistor pair is coupled between an input voltage and one of the transistor pair, and the other resistor is coupled between the input voltage and the reference resistor. Also described is a circuit included in the homologue frequency divides and a method for correcting the duty cycle of clock signals generated by the homologue frequency dividers to 50%.