Step 1: Recall the named layer. The Malpighian layer (stratum malpighii), named after Marcello Malpighi, refers to the living, germinative portion of the epidermis.
Step 2: List the epidermal strata from base upward: basale, spinosum, granulosum, lucidum, corneum. The two deepest viable layers are basale and spinosum.
Step 3: The accepted definition groups the stratum $basale$ and stratum $spinosum$ together as the Malpighian layer, because these house the proliferating basal cells and the desmosome-linked prickle cells.
Step 4: Options pairing corneum, lucidum or granulosum are wrong, since those represent the superficial keratinising layers. The match is spinosum plus basale.\[\boxed{\text{Stratum spinosum and stratum basale}}\]