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This lecture covers the importance of transport in cementitious materials, focusing on sustainability aspects such as economic, societal, and environmental impacts. It discusses the need for monitoring, surface repair, partial replacement, and environmental remediation to ensure the longevity of structures. The lecture also explores the life cycle of materials used in construction, emphasizing the significance of minimizing CO2 emissions. Additionally, it delves into the microstructure of cement paste and the use of numerical methods for studying transport phenomena.