"Hundreds of years before Solomon came to the throne, the Lord, foreseeing the perils that would beset those who might be chosen as rulers of Israel, gave Moses instruction for their guidance. Directions were given that he who should sit on the throne of Israel should “write him a copy” of the statutes of Jehovah “in a book out of that which is before the priests the Levites.” “It shall be with him,” the Lord said, “and he shall read therein all the days of his life: that he may learn to fear the Lord his God, to keep all the words of this law and these statutes, to do them: that his heart be not lifted up above his brethren, and that he turn not aside from the commandment, to the right hand, or to the left: to the end that he may prolong his days in his kingdom, he, and his children, in the midst of Israel.” Deuteronomy 17:18-20 . PK 52.1"
"And it shall be, when he sitteth upon the throne of his kingdom, that he shall write him a copy of this law in a book out of that which is before the priests the Levites: And it shall be with him, and he shall read therein all the days of his life: that he may learn to fear the Lord his God, to keep all the words of this law and these statutes, to do them: That his heart be not lifted up above his brethren, and that he turn not aside from the commandment, to the right hand, or to the left: to the end that he may prolong his days in his kingdom, he, and his children, in the midst of Israel."
Ellen White directly references Deuteronomy 17:18-20 in this passage.
"In connection with this instruction the Lord particularly cautioned the one who might be anointed king not to “multiply wives to himself, that his heart turn not away: neither shall he greatly multiply to himself silver and gold.” Verse 17 . PK 52.2"
"Neither shall he multiply wives to himself, that his heart turn not away: neither shall he greatly multiply to himself silver and gold."
EGW directly quotes Deuteronomy 17:17, making this a clear and explicit allusion.
"With these warnings Solomon was familiar, and for a time he heeded them. His greatest desire was to live and rule in accordance with the statutes given at Sinai. His manner of conducting the affairs of the kingdom was in striking contrast with the customs of the nations of his time—nations who feared not God and whose rulers trampled underfoot His holy law. PK 52.3"
"But he shall not multiply horses to himself, nor cause the people to return to Egypt, to the end that he should multiply horses: forasmuch as the Lord hath said unto you, Ye shall henceforth return no more that way. Neither shall he multiply wives to himself, that his heart turn not away: neither shall he greatly multiply to himself silver and gold."
The EGW passage directly refers to Solomon's initial adherence to the laws given at Sinai, which Deuteronomy 17:16-17 outlines. The passage in Deuteronomy warns against multiplying horses, wives, and wealth, all of which are relevant to Solomon's story. EGW's statement amplifies the importance of following these specific statutes.