Can parents see details on what you purchase online with a debit card?

I really like the Aerie line of clothes. I guess it's just a bit embarrassing to let my mom see what I buy from them. She allows me to buy push ups but not thongs (which I have bought with cash from aerie in the past) just because they're comfortable and I wear leggings for running. So I was wanting to buy more of those. Can she see what I purchased in specific or just where I purchased and how much?
Can parents see details on what you purchase online with a debit card?
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