"Paul dwelt especially upon the far-reaching claims of God's law. He showed how it extends to the deep secrets of man's moral nature and throws a flood of light upon that which has been concealed from the sight and knowledge of men. What the hands may do or the tongue may utter—what the outer life reveals—but imperfectly shows man's moral character. The law searches his thoughts, motives, and purposes. The dark passions that lie hidden from the sight of men, the jealousy, hatred, lust, and ambition, the evil deeds meditated upon in the dark recesses of the soul, yet never executed for want of opportunity—all these God's law condemns. AA 424.1"
"For the word of God is quick, and powerful, and sharper than any twoedged sword, piercing even to the dividing asunder of soul and spirit, and of the joints and marrow, and is a discerner of the thoughts and intents of the heart."
Both passages discuss how God's word/law penetrates beyond outward appearances to judge the inner thoughts and motives of the heart. The EGW passage provides specific examples of the hidden sins that God's law condemns, echoing the sentiment of Hebrews 4:12.
"But I say unto you, That whosoever looketh on a woman to lust after her hath committed adultery with her already in his heart."
Both passages discuss the law's reach into the inner thoughts and motives, not just outward actions. Matthew 5:28 is a specific example of this principle, and EGW expands on it.
"Paul endeavored to direct the minds of his hearers to the one great Sacrifice for sin. He pointed to the sacrifices that were shadows of good things to come, and then presented Christ as the antitype of all those ceremonies—the object to which they pointed as the only source of life and hope for fallen man. Holy men of old were saved by faith in the blood of Christ. As they saw the dying agonies of the sacrificial victims they looked across the gulf of ages to the Lamb of God that was to take away the sin of the world. AA 424.2"
"The next day John seeth Jesus coming unto him, and saith, Behold the Lamb of God, which taketh away the sin of the world."
Both passages directly refer to Jesus as the 'Lamb of God' who takes away the sin of the world. EGW's passage explicitly connects this to the sacrificial system.
"For the law having a shadow of good things to come, and not the very image of the things, can never with those sacrifices which they offered year by year continually make the comers thereunto perfect."
Both passages discuss the sacrificial system as a 'shadow' of the good things to come in Christ. EGW's passage elaborates on this concept, presenting Christ as the antitype.