Increased LDL levels occur when saturated fat and dietary cholesterol are increased.

This often happens on a low-starch diet when carbohydrate intake is decreased and meat, egg and fat intake is increased.

- http://www.kickas.org/ubbthreads/ubbthreads.php?ubb=showflat&Number=519895#Post519895
- http://www.kickas.org/ubbthreads/ubbthreads.php?ubb=showflat&Number=506133#Post506133

It's possible to eat a higher fat diet that doesn't increase LDL, it just needs to be high in polyunsaturated fats and monounsaturated fats and low in saturated fats.

Around a quarter of people are hyperresponders to dietary cholesterol so if you were in that group then reducing egg intake would help bring LDL levels down.