Final answer:
Fibrates interact negatively with statins and immunosuppressant drugs, increasing the risk of myopathy and rhabdomyolysis, which necessitates close supervision and regular blood monitoring.
Step-by-step explanation:
The two drugs that fibrates interact negatively with are statins and immunosuppressant drugs, specifically cyclosporine. When fibrates are combined with statins, there is a markedly increased risk of myopathy and rhabdomyolysis, a condition which involves the breakdown of muscle tissue leading to the release of muscle fiber contents into the bloodstream that can be harmful to the kidneys. This combination is only used under close supervision due to the severity of potential side effects. Likewise, when fibrates are taken with immunosuppressant drugs like cyclosporine, the risk of muscle damage also increases. Regular monitoring through blood lipid profile tests is essential when these medications are being used.