Complex sentence: In some parts of the Southern and Midwestern United States, the terms "salad eggs" or "dressed eggs" are used particularly when the dish is served in connection with a church function presumably to avoid dignifying the word "deviled".
Split into simpler sentences: In some parts of the Southern and Midwestern United States, the term "dressed eggs" is used. This is especially true when the dish is served in connection with a church function; presumably to avoid dignifying the word "deviled".