"Encourage understanding and support" 或者 "promote understanding and support" 都可以用来表达这个意思。这两个短语都可以用来描述鼓励或促进人们理解并支持某些事物。
下面是一些英文例句和中文翻译：
"We should encourage understanding and support for diversity in the workplace." (我们应该鼓励在工作场所里对多样性的理解和支持。)
"The school's mission is to promote understanding and support among its students." (学校的使命是促进学生之间的理解和支持。)
"The organization works to encourage understanding and support for refugees and asylum seekers." (这个组织致力于鼓励对难民和寻求庇护者的理解和支持。)