A typical ISMS certificate scope statement includes activities relating to the delivery of products and services. It does not need to include internal activities or ISMS processes. The aim is to assure the reader that the information provided when receiving the product or service is protected.
The statement of applicability refers to the list of selected controls. It does not provide details of those controls but a traceable reference to a control statement used as the basis of the last ISO 27001 audit. Sometimes organisations have a sharable public version that simply lists the controls selected from ISO 27001 Annex A, but this is not a mandatory requirement.