Not so much an attempt to explain the concept, but here's my stab at untangling the quoted verbiage ...
Original:
"The critical chain method uses activities with durations that do not include safety margins, logical relationships, and resource availability with statistically determined buffers composed of the aggregated safety margins of activities at specified points on the project schedule path to account for limited resources and project uncertainties."
Rewritten:
The critical chain method uses the following:
- Activities with durations that do not include safety margins
- Logical relationships
- Resource availability
Buffers are then added into specified points on the project schedule path to account for limited resources and project uncertainties. These buffers are determined statistically by determining and combining safety margins for the identified activities.
At least I think that's a valid parsing of the sentence. But yes, you're right, the original wording certainly isn't very straightforward.