Here "hope" refers to having the confident expectation that God will do what he promised to do. This can be stated in active form. Alternate translation: "when we have faith, we are sure of the things we hope for" or "faith is being sure that we will receive from God the things we confidently wait for"
This can be stated in active form. Alternate translation: "that we still have not seen" or "that still have not happened" (See: [[rc://en/ta/man/translate/figs-activepassive]])