At first blush it seems as if we could remove the "to" from the second one and place it in the first one without disturbing the meanings of either. The only significant difference I see is that the first one (probably) describes a single occurrence by a single individual, while the second one describes multiple occurrences (or habitual behavior) by each of many individuals. So I guess we admit doing one particular dirty deed, and we admit to habitually doing something reprehensible.
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AvangiDo you feel that this example could possibly be interpreted in this way? (as "allowing" ?)No, I don't. Theoretically it could but in reality logic takes priority over what is possible in theory. I think in most cases the intended meaning can be easily inferred from the surrounding context.