There are several synonyms for the phrase "in spite that" that can be used to convey the same meaning. These include "despite the fact that", "notwithstanding", "regardless", "although", and "even though". All of these expressions are used to introduce a contrast or contradiction between two ideas. They indicate that although one fact or statement might be true, another opposing idea is also relevant. By using synonyms for "in spite that", a writer can add variation and complexity to their language, making their writing more interesting and engaging for the reader.