A "burdened obstetric history" is a medical term that refers to a pregnancy history that has been complicated by medical problems. Some synonyms for this term include "complicated obstetric history," "high-risk pregnancy history," and "complex obstetrical past." Other phrases that can be used to describe this type of pregnancy history include "history of pregnancy complications," "previous obstetrical disorders," and "multiple obstetric problems." It's important to note that having a burdened obstetric history doesn't necessarily mean that a woman cannot have a healthy pregnancy in the future, but it is a risk factor that should be taken into consideration by healthcare providers.