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That is exactly correct.
Clays lithify into shale. Shale metamorphoses into slate.
Sediment forms which may ultimately be deposited and lithify into sedimentary rock.
The ultimate creation of moving rock and sediment is a sediment deposit. Sediment deposits can eventually lithify into sedimentary rock.
Glaciers and rivers carry eroded rock material to a place of deposition where the sediments can lithify into sedimentary rock.