" Do these resistors need to be in the circuit? "
But until you can tell us the model of the EI unit & the value of the resistors, the chances are very good that just bypassing the resistors will let the smoke out of the EI.
Or, simply adopt the 'no guts, no glory' attitude & bypass the resistors. It will probably start & run fine. If it's still running fine 3 months from now, it clearly did not need the resistors.