The phrase "and hence in the" is correct and usable in written English.
It can be used to indicate a conclusion or result that follows logically from what has been previously stated.
Example: "The experiment yielded significant results, and hence in the following sections, we will discuss the implications of these findings."
Alternatives: "therefore in the" or "thus in the".
Those contrasts are especially evident in Sylvia's dancing, and hence in the development of her character.
These cells commonly vary in depth, and hence in the volume of ink they will retain.
Evolutionists are interested in the history of life and hence in the topology, or configuration, of phylogenies.
As for psychology, the cool, persistent logic that powers Sachs's prose doesn't account for the many irrationalities embedded in personal economic choices, and hence in the global system at large.
Each shell consists of n2 individual orbitals with the same principal quantum number and hence (in the hydrogen atom) the same energy.
Mr. Condon and Mr. Mark had strongly suggested expanding the field somewhat, perhaps to eight contenders, to get more variety in the nominees, and, hence, in the broadcast.
The sizes of atoms are of importance in the determination of coordination number (that is, the number of groups attached to the central atom in a compound) and hence in the composition of compounds.
A person is a materialist in this sense if he is interested mainly in sensuous pleasures and bodily comforts and hence in the material possessions that bring these about.
The light associated with these images is propagating in the same direction, and hence in the plane of one image light from the other image appears as an out-of-focus component.
The additional flux in the near-tail requires an increase in the tail field and hence in the tail current, since the additional flux is contained in a volume of smaller cross section than was the initial quiet-time flux.
"If we move into a world where, because of a fall in demand and hence in the oil price there is less need for crude, all of your sunk capital once you have allowed for depreciation – the book value of an oilfield — is going to be zero and there will have to be write-downs.
