"Why don't you guys come for lunch on Yomtov Sheyni?" (Glinert)
"But nowadays, that the people of Eretz Yisrael rely on calculation and sanctify [a day as the beginning of a new month] based upon that, the purpose of Yom Tov Sheyni is not to deal with any doubt, but is solely a Minhag." (Glinert)