  The notion of 2-almost Gorenstein local ring (2-AGL ring for short) is a
generalization of the notion of almost Gorenstein local ring from the point of
view of Sally modules of canonical ideals. In this paper, for further
developments of the theory, we discuss three different topics on 2-AGL rings.
The first one is to clarify the structure of minimal presentations of canonical
ideals, and the second one is the study of the question of when certain fiber
products, so called amalgamated duplications are 2-AGL rings. We also explore
Ulrich ideals in 2-AGL rings, mainly two-generated ones.
