True, In the photo posted we see in the Network Interface Device (NID) outside we see a DSL SLED ( the orange thing) with ports for both phone and DSL. And we see (2) pairs of wire so we know it's a bonded connection 2 DSL connections tied together to double the data rate and provide 100 total

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Both the blue and the green pair which are both in "DSL" ports on the orange sled need to be traced and wired to the new jack.

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While there may be less expensive models at a big box home improvement stores or other models online, low voltage professions use something like a Tempo brand telephone wire tracer (AKA Fox & hound). These are a great tool to help with something like this.

Have you considered just paying the $100 to have a new jack installed by CenturyLink?