Skill sets may not be the same, but the attempt should be made.

My ad on Match said, "I am not looking for a maid, cook, laundress, dishwasher or sex object. I'm looking for a partner..."

I do the dishes, laundry, and cook breakfast. My wife is a better cook, so she fixes lunch. Sandwiches or restaurants for dinner.

The important thing is that the split is somewhat even.

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