"The people had not yet gone to such lengths in apostasy that they despised the judgments of God. In the losses sustained by the invasion of Shishak, they recognized the hand of God and for a time humbled themselves. “The Lord is righteous,” they acknowledged. PK 95.1"
"Righteous art thou, O Lord, and upright are thy judgments."
Both passages connect humbling oneself before God with acknowledging His righteousness and judgments. The EGW passage provides a specific example of this principle in action, while the Psalm expresses the general truth.
"“And when the Lord saw that they humbled themselves, the word of the Lord came to Shemaiah, saying, They have humbled themselves; therefore I will not destroy them, but I will grant them some deliverance; and My wrath shall not be poured out upon Jerusalem by the hand of Shishak. Nevertheless they shall be his servants; that they may know My service, and the service of the kingdoms of the countries. PK 95.2"
"If my people, which are called by my name, shall humble themselves, and pray, and seek my face, and turn from their wicked ways; then will I hear from heaven, and will forgive their sin, and will heal their land."
Both passages highlight the principle that God responds to humility and repentance with mercy and deliverance. While 2 Chronicles 7:14 is a more general promise, the EGW passage illustrates this principle in the specific context of Rehoboam's reign.
"“So Shishak king of Egypt came up against Jerusalem, and took away the treasures of the house of the Lord, and the treasures of the king's house; he took all: he carried away also the shields of gold which Solomon had made. Instead of which King Rehoboam made shields of brass, and committed them to the hands of the chief of the guard, that kept the entrance of the king's house.... And when he humbled himself, the wrath of the Lord turned from him, that He would not destroy him altogether: and also in Judah things went well.” Verses 6-12 . PK 95.3"
"And he took away the treasures of the house of the Lord, and the treasures of the king’s house; he even took away all: and he took away all the shields of gold which Solomon had made."
EGW directly quotes and references 1 Kings 14:26, making it a clear explicit allusion.
"But as the hand of affliction was removed, and the nation prospered once more, many forgot their fears and turned again to idolatry. Among these was King Rehoboam himself. Though humbled by the calamity that had befallen him, he failed to make this experience a decisive turning point in his life. Forgetting the lesson that God had endeavored to teach him, he relapsed into the sins that had brought judgments on the nation. After a few inglorious years, during which the king “did evil, because he prepared not his heart to seek the Lord,” “Rehoboam slept with his fathers, and was buried in the City of David: and Abijah his son reigned in his stead.” Verses 14, 16 . PK 95.4"
"And he did evil, because he prepared not his heart to seek the Lord."
EGW directly quotes and references 2 Chronicles 12:14, making it a clear explicit allusion.
"And it came to pass, when Rehoboam had established the kingdom, and had strengthened himself, he forsook the law of the Lord, and all Israel with him."
Both passages discuss Rehoboam forsaking God. While EGW doesn't directly quote 2 Chronicles 12:1, the theme of forsaking the Lord is present in both.