correlation implies the cause and effect relationship,, but casuality doesn't imply correlation.

NO.

correlation just (implies) a relationship ... for example,

both may be caused by the same thing.

Correlation alone cannot be able to complicate causation.

Historical causation and correlation both involve relationships between events or variables. However, causation implies a direct relationship where one event causes another, while correlation suggests a statistical relationship where changes in one event may be associated with changes in another, without implying causation. Both concepts are used to interpret patterns in data or events.

No! Correlation by itself is not sufficient to infer or prove causation.