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As long as the site is secured with SSL, your transaction data would be encrypted. If you are purchasing from a larger net retailer such as Amazon, Yahoo, etc, your information is pretty safe. If you are purchasing from a smaller merchant, you may want to discuss with them whether they store your card number. The greater danger lies with smaller merchants having their databases hacked into.
Regardless, you are always protected by the credit card companies. If any transactions are on your statement that you did not authorize, you may dispute the charges and have them reversed.
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