Are the children of the flesh in the line of the covenants?
No. The children of the flesh, represented by Ishmael and later Esau, are not in the line of the covenants. They are children of Abraham physically, but they are not counted as the children of God or as the promised seed. The children of the promise are counted for the seed.
Les teaches from Romans chapter 9, verse 8, that the children of the flesh are those descended from Ishmael and later from Esau. While they are physically children of Abraham, they are not the children of God and are not in the line of the covenants. By contrast, the children of the promise are counted for the seed. Les also notes that the word "seed" is the Greek word zera, which is used like the English word sheep, whether singular or plural.
That is, They which are the children of the flesh, these are not the children of God: but the children of the promise are counted for the seed.
More Questions
Are all of Abraham's descendants children of the promise?
Not all the children of Abraham are children of the promise; only those who came through Isaac, Jacob, and the twelve tribes are.