Given our understanding of biological gene expression regulation, we can confirm that the movement upstream of the lac gene by 50,000 nucleotides would have no effect on the regulation of the lac operon.
The lac operon is one of the genes that is regulated irrelevant to its position in the genome. The reason for this is that it is regulated by a series of proteins, which will be transcribed without any dependence on the position of the lac operon gene in the genetic code.
The expression of the gene is determined by these two proteins, one of which will have a positive effect whilst the other a negative. This is intended to function as a feedback loop to keep values at a normal level. One protein will prevent the lac gene from being transcribed, while the other will promote its transcription. Each will activate in response to a concentration stimulus.
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