Hello Jenny and welcome to the Cow Audio Forum.
The conventional approach is to "checkerboard" the dialog from multiple lav; .turning off any mics that aren't being spoken into with the mix automation of the editing software. If the mics in question have significantly different ambiences or noises, you will run into problems when you go from one mic to another.
Music is frequently used to cover those changes, but you're not using music. Some folks try laying in room tone to dirty up the total sound. That may hide the changes somewhat.
Regards,
Ty Ford
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