The correct statement that describes the properties of lanthanoids and actinoids is:
They are malleable and lustrous, and they tend to conduct both electricity and thermal energy.
Lanthanoids (lanthanides) and actinoids (actinides) are generally considered to be metals, and they typically exhibit properties such as malleability and luster, along with the ability to conduct electricity and thermal energy. However, it's worth noting that the actinoids can be more variable in their physical properties compared to the lanthanoids.