Final answer:
The sinking of convection currents in subduction zones causes two plates to collide, leading to one plate being subducted beneath another and its crust being recycled into the mantle as magma.
Step-by-step explanation:
When convection currents are sinking, they are typically located in subduction zones where one tectonic plate is forced beneath another. This process is essential for recycling the Earth's crust back into the mantle. Thus, the correct answer to how plates move where convection currents are sinking is option c: Two plates are colliding, causing both crusts to sink back into the mantle and be recycled back into magma. These subduction zones are often marked by deep ocean trenches, such as the Japan trench, and they play a critical role in balancing the creation of new crust at rift zones with the destruction of old crust at subduction zones.