Mitigating Cognitive Biases in Funnels

We're currently optimizing our high-stakes conversion funnels and acknowledging the pervasive influence of cognitive biases on user decision-making processes. Our primary challenge lies in designing UI/UX interventions that effectively counteract specific biases like the anchoring effect and loss aversion without inadvertently increasing cognitive load. What empirical strategies or design patterns have demonstrably reduced the impact of these biases in similar critical conversion flows?