United said the girls were travelling on a special pass, for employees and their guests, which has a dress code.
It has since clarified that all regular, paying customers are welcome to wear leggings.
The girls were "United pass travellers", which are tickets for company employees or eligible dependents, it explained in a Twitter exchange on the issue.
"United pass travellers" are eligible for free or heavily discounted air travel.
The dress code for pass-holders states they should not wear "form-fitting lycra/spandex tops, pants and dresses", among various other stipulations, including no exposed midriffs, no mini skirts and no flip-flops.
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