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You can either shift the line automatically or manually:

1. You can use QGIS expressions with Geometry generator or Geometry by expression and the function translate( $geometry, dx, dy) to offset the line to it's correct position. You have to determine for one point the shift in x- and in y-direction and than set these values instead of dx and dy in the expression above.

   Screenshot: original line in pink, shifted line in blue, using geometry generator:

2. Another, manual way is to use the Move feature tool from Advanced Digitizing Toolbar: select the line and shift it with the tool.