Active inductor load can be designed by applying a negative voltage feedback from drain of an active current load to the gate of the active load. The feedback has a time constant that depends on the size of gate resistor and Cgs of the active load. Overall, feedback makes the load to behave like an inductor where $L=\frac{R_g C_{gs}}{g_m}$. For more details refer to page 68 of this Master's thesis. The following image is also captured from the thesis.
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