The advanced deductions fall into three groups
Circles
twins
triplets
skinny 2x2, 2x3, 2x4, ...
fat 3x3, 4x4, ...
in between 2.3 x 3, 2.7 x 3, ...
a x b => a digits wide; b cells long.
Squares
Row
Column
Super squares
Miscellaneous
Definitions by example only.