sensical

As adjectives the difference between plausible and sensical

is that plausible is seemingly or apparently valid, likely, or acceptable; credible: a plausible excuse while sensical is (neologism) that makes sense; showing internal logic; sensible.

As an adjective sensical

is that makes sense; showing internal logic; sensible.

As an adverb sensically is

in a sensical way; reasonably, sanely.