1. The modern nuclear family was rooted in the desire to live happily in a more equal marriage,
    现代核心家庭原本基于对更为平等的婚姻关系中幸福生活的渴望。

2. His hero was firmly rooted in both the history and the mythology of the vanished frontier.
    他扮演的角色建立于西部历史和消失了的新垦地的神话之中.

3. And his hero was firmly rooted in his memories and experiences,
    他塑造的英雄人物深深地扎根于他本人的记忆和经历之中，