"Look unto Jesus in simplicity and faith. Gaze upon Jesus until the spirit faints under the excess of light. We do not half pray. We do not half believe. “Ask, and it shall be given you.” Luke 11:9 . Pray, believe, strengthen one another. Pray as you never before prayed that the Lord will lay His hand upon you, that you may be able to comprehend the length and breadth and depth and height, and to know the love of Christ, which passeth knowledge, that you may be filled with all the fullness of God. 7T 214.2"
"And I say unto you, Ask, and it shall be given you; seek, and ye shall find; knock, and it shall be opened unto you."
Ellen White directly references Luke 11:9 in this passage.
"***** The fact that we are called upon to endure trial proves that the Lord Jesus sees in us something very precious, which He desires to develop. If He saw in us nothing whereby He might glorify His name He would not spend time in refining us. We do not take special pains in pruning brambles. Christ does not cast worthless stones into His furnace. It is valuable ore that He tests. 7T 214.3"
"For whom the Lord loveth he chasteneth, and scourgeth every son whom he receiveth."
Both passages discuss the idea that trials and tribulations are a sign of God's love and a process of refinement. Hebrews 12:6 states that God chastens those He loves, while the EGW passage explains that trials indicate God sees something precious in us that He wants to develop. The metaphor of refining valuable ore is a parallel to the chastening described in Hebrews.
"The blacksmith puts the iron and steel into the fire that he may know what manner of metal they are. The Lord allows His chosen ones to be placed in the furnace of affliction in order that He may see what temper they are of and whether He can mold and fashion them for His work. 7T 214.4"
"That the trial of your faith, being much more precious than of gold that perisheth, though it be tried with fire, might be found unto praise and honour and glory at the appearing of Jesus Christ:"
Both passages use the metaphor of fire to describe trials and their refining effect on faith/character. 1 Peter 1:7 speaks of faith being tried by fire, and the EGW passage uses the analogy of a blacksmith putting metal in the fire to test its temper. The core idea of trials revealing and refining character is strongly present in both.