Yes, LOVAGE is a Scrabble word!

Letter values in Scrabble US: L 1, O 1, V 4, A 1, G 2, E 1.

Is it a valid word?

LOVAGE is a valid word in the official Scrabble dictionary (US), the UK Scrabble Dictionary and Words with Friends (ENABLE).

herb native to southern Europe; cultivated for its edible stalks and foliage and seeds
stalks eaten like celery or candied like angelica; seeds used for flavoring or pickled like capers

Also: levisticum officinale.