ways to extend weather effects, terrain effects, tailwind, trick room, partial trapping moves, heal block things like that so like your terrain extender, damp rock, grip claw, abilities that do the same thing etc
You already listed most of the items in your question but I’ll go ahead and list all of them.
Damp rock (increases rains duration by 3 turns) Smooth rock (increases sandstorms duration by 3 turns) Heat rock (increases sun duration by 3 turns) icy rock (increases hail/snow duration by 3 turns) Terrain extender (increases terrains duration by 3 turns) light clay (increases screens and aurora veil duration by 3 turns) Grip claw (makes binding moves always last 7 turns)
Source: experience