Daniel B. Wallace defines an "ascensive conjunction" this way:
"This use expresses a final addition or point of focus. It is often translated even. This classification is usually determined by the context. Conjunctions that function this way are καί, δέ, and μηδέ" (Greek Grammar Beyond the Basics, page 670-671). Emphases are in the original.
Two examples that Wallace gives of this usage are 1 Cor. 2:10; Eph. 5:3. Another possible example might be Gal. 6:16. As Wallace notes--context will ultimately determine whether a conjunction functions ascensively.