Step 1: Frame the disease. Cutaneous lymphoma is influenced by demographic and immune-related risk factors, each given as an option here.
Step 2: Confirm them one by one. Increasing age is important, with peak incidence in the fifth and sixth decades. Sex is relevant because most subtypes favor men. Immune compromise from HIV/AIDS or from transplant immunosuppression independently increases risk.
Step 3: Combine the findings. Because every listed factor, age, gender, and a weakened immune system, genuinely contributes to risk, they all hold true together.
All listed contributors are real risk factors.\[\boxed{\text{All}}\]