tissue-specific expression of homolog genes
The evolution of new genes is frequently associated with gene duplication. The paralogous genes are then free to evolve on their own into new functions over time. Sometimes (usually) the paralog will end up with a frame shift, or stop codon that inactivates it. But your question is lacking the element of time. At the instant of gene duplication, each copy is identical. However, one copy may lack the control elements (usually upstream), and not be transcribed. Or one copy may eventually evolve a new, tissue specific function. But whether the copy is inactivated, or evolves a new function, or remains active is not the same for every instance. It depends on how each copy changes under the influences of mutation and selection.