This is an old article from Dr McDougall (2003) and the data about eating whole fruit has changed. However overall, this is a good summary to understand triglycerides.
He does not touch on the idea that while losing weight your triglycerides may go up because your body is moving fat from the fat cells, through the blood to be used as energy. When weight stabilizes, so do triglycerides.
https://www.drmcdougall.com/misc/2003nl/030100putamingelevatedtriglycerides.htm