You should enter each 1099 on both Schedule Cs - but half of each. So, if you have a 1099-NEC from Company XYZ with $1500, you would enter a form on your Schedule C for $750 and another on your spouse's Schedule C for $750.
For any amounts you don't have a tax form for, you can do one entry for half on each return in the Other Income field. You should only use that form for income not reported on another form.
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