Climate change is a global challenge that shas accelerated the adoption of carbon credit mechanisms to reduce emissions. However, these projects' impacts extend beyond the environment, encompassing significant social outcomes in local communities. This research introduces an innovative framework to quantify the social impacts of carbon credit projects by integrating the United Nations Sustainable Development Goals (UN SDGs). The study addresses three core objectives. First, it incorporates UN SDG indicators like poverty reduction, health improvement, and education into the evaluation, creating a nuanced valuation model for comprehensive social impact assessment. Second, it validates statistical models that predict social outcomes of carbon credit projects by analysing variables such as job creation, methodology, and UN SDG claims. Third, it develops a rule-based verification system, leveraging AI to ensure project alignment with specific UN SDGs, promoting transparency and accountability. By advancing these objectives, the research provides a robust methodology for assessing UN SDG claims' social impact and credibility in carbon credit projects. The framework demonstrates the potential to predict and quantify diverse social implications through literature review and real-world data analysis, establishing a new benchmark for evaluating carbon credit projects.