The prospect of higher pay helps explain their ambition, but so does the greater status //that comes with each successive title.
【主干】 The prospect of higher pay helps explain their ambition, but so does the greater status。其中, so 指代前半句谓语和宾语 helps explain their ambition, 后半句语序为倒装, 语序正常内容补全后为 the greater status helps explain their ambition。
【修饰成分】 that comes with each successive title 是定语从句, 修饰 the greater status。
【翻译】这种抱负说得通, 因为升职不仅能加薪, 还有随头衔不断而来的更高地位。