The Chozeh of Lublin zy’a would say that by relating the story of yetzias Mitzrayim, one can effect miracles and wonders. The Sefarim Hakedoshim say that speaking about miracles from past generations arouses their influence and causes miracles to happen today, and this applies most of all to the miracles of Pesach.
The Magid of Zlotchov zy’a said that saying the words of the Torah about yetzias Mitzrayim brings back the power of those miracles, as everything lies within the words of the Torah.