I will quote these two verses and then we’ll seek to answer your question:

“One generation passes away, and another generation comes; but THE EARTH ABIDES FOREVER” (Ecclesiastes 1:4). “But the day of the Lord will come as a thief in the night, win which the heavens will pass away with a great noise, and the elements melt with forever heat; both THE EARTH and the works that are in it WILL BE BURNED UP” (2 Peter 3:10)

So, who is right, Solomon or Peter? I believe Scripture brings out clearly that Peter is right. Peter is not the only one who foretold the complete destruction of the present earth. God the Father said this to His Son, “But to the Son He says: ‘Your throne, O God, is forever and ever; A scepter of righteousness is the scepter of Your kingdom. You have loved righteousness and hated lawlessness; Therefore God, Your God, has anointed You with the oil of gladness more than Your companions.’  And: ‘You Lord, in the beginning laid the foundation of the earth, and the heavens are the word of Your hands. THEY WIL PERISH, but You remain; and they will grow old like a garment’” (Hebrews 1:8; cited from Psalm 102:25-27). Jesus Himself said, “HEAVEN AND EARTH WILL PASS AWAY, but My words will by no means pass away” (Matthew 24:35). John the Apostle, in his visions on the Isle of Patmos, said: “And I saw a great white throne and Him who sat on it, from whose face THE EARTH AND THE HEAVEN FLED AWAY. AND THERE WAS FOUND NO PLACE FOR THEM” (Revelation 20:11). These three (God the Father, the Lord Jesus, and the Apostle Paul) made it crystal-clear that at the end of time “the EARTH and HEAVEN will PERISH.” Yet John goes on to say in Revelation 21:1, “Now I saw a new heaven and a new earth, and THE FIRST HEAVEN AND THE FIRST EARTH HAD PASSED AWAY.” This means this present heaven and earth will be replaced by a new heaven and a new earth. The Apostle Peter wrote of this too in 2 Peter 3:12-13, “Looking for and hastening the coming of the day of God, because of which the heavens will be dissolved, being on fire, and the elements will melt with fervent heat. Nevertheless we, according to His promise, look for NEW HEAVENS AND A NEW EARTH in which righteousness dwell.”

So, the answer to your question is: the present earth will NOT abide forever. Now we must ask the question, “Why did Solomon think and say that “the earth abides forever?” The answer is quite simple: Solomon was not alive when the revelations of the Lord Jesus, the Apostle Peter, and the Apostle John spoke of the earth’s destruction, so he thought, as he observed the natural order of things around him, that the earth would continue to exist forever. Listen to what he says in verses 5-7, “The SUN ALSO RISES AND THE SUN GOES DOWN and hastens to the place where it rose. The wind goes toward the south and turns around to the north; THE WIND WHIRLS ABOUT CONTINUALLY, AND COMES AGAIN ON ITS CIRCUIT. All THE RIVERS RUN INTO THE SEA, yet the sea is not full; to THE PLACE FROM WHICH THE RIVERS COME, THERE THEY RETURN AGAIN.” Solomon was not writing as one who had received a “revelation from God”; he was writing as one who was observing the natural world around him. Throughout this book Solomon is observing life and everything around him and then drawing certain conclusions. Based on history and his own observations throughout his life, the natural world (the sun, the wind, and the rivers) would continue in their natural order and thus the earth would continue on forever. If Solomon had lived to see and hear the Lord Jesus, and to read the inspired writings of the Apostle Peter and the Apostle John, he would have learned that his conclusion was wrong. The earth will NOT ABIDE FOREVER!  (DO)  (709.1)