Multivariate logistic regression analysis revealed that higher TG/HDL-C was associated with higher risk of deep vein thrombosis (p = 0.014), while higher TyG (p = 0.002), AIP (p = 0.002), and TG/HDL-C (p = 0.011) were associated with pulmonary embolism. Here, AIP is linked to deep vein thrombosis.