"“Grace be unto you, and peace, from God our Father, and from the Lord Jesus Christ. I thank my God upon every remembrance of you, always in every prayer of mine for you all making request with joy, for your fellowship in the gospel from the first day until now; being confident of this very thing, that He which hath begun a good work in you will perform it until the day of Jesus Christ: even as it is meet for me to think this of you all, because I have you in my heart; inasmuch as both in my bonds, and in the defense and confirmation of the gospel, ye all are partakers of my grace. For God is my record, how greatly I long after you all.... And this I pray, that your love may abound yet more and more in knowledge and in all judgment; that ye may approve things that are excellent; that ye may be sincere and without offense till the day of Christ; being filled with the fruits of righteousness, which are by Jesus Christ, unto the glory and praise of God.” AA 480.1"
"Grace be unto you, and peace, from God our Father, and from the Lord Jesus Christ."
The EGW passage directly quotes Philippians 1:2.
"Grace be to you and peace from God the Father, and from our Lord Jesus Christ,"
The EGW passage directly quotes Galatians 1:3, making it an explicit allusion.
"I thank my God upon every remembrance of you,"
The EGW passage directly quotes Philippians 1:3, making it an explicit allusion.
"Being confident of this very thing, that he which hath begun a good work in you will perform it until the day of Jesus Christ:"
The EGW passage directly quotes Philippians 1:6, making it an explicit allusion.
"The grace of God sustained Paul in his imprisonment, enabling him to rejoice in tribulation. With faith and assurance he wrote to his Philippian brethren that his imprisonment had resulted in the furtherance of the gospel. “I would ye should understand, brethren,” he declared, “that the things which happened unto me have fallen out rather unto the furtherance of the gospel; so that my bonds with Christ are manifest in all the palace, and in all other places; and many of the brethren in the Lord, waxing confident by my bonds, are much more bold to speak the word without fear.” AA 480.2"
"But I would ye should understand, brethren, that the things which happened unto me have fallen out rather unto the furtherance of the gospel;"
The EGW passage directly quotes Philippians 1:12.
"And he said unto me, My grace is sufficient for thee: for my strength is made perfect in weakness. Most gladly therefore will I rather glory in my infirmities, that the power of Christ may rest upon me."
Both passages highlight the sufficiency of God's grace in times of hardship and weakness. Paul's imprisonment and his ability to rejoice despite it, as described in AA 480.2, echoes the sentiment in 2 Corinthians 12:9 about grace being sufficient and strength being made perfect in weakness.
"And not only so, but we glory in tribulations also: knowing that tribulation worketh patience; And patience, experience; and experience, hope: And hope maketh not ashamed; because the love of God is shed abroad in our hearts by the Holy Ghost which is given unto us."
Both passages discuss rejoicing in tribulation and its positive effects, although Romans 5:3-5 is more general and doesn't specifically relate to imprisonment.
"And not only so, but we glory in tribulations also: knowing that tribulation worketh patience;"
Both passages discuss rejoicing in tribulation, but the connection is not a direct quote or explicit reference. The theme is similar, but the specific context and wording differ significantly.