The only way a credit score could change more than a few points upward in 30 days would be if a negative tradeline was removed. For example if there was a charge-off or collection account, and it was the only real negative item and it was removed.
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Finance is what I do for a living and the only thing I have ever seen improve credit scores is people paying their bills on time every month for several months in a row.

I personally would not trust anybody who makes these types of statements.

Definitely a crock. I wouldn’t touch a company like that with a ten foot pole.