What can you infer about a high-molecular-weight protein that cannot be transported into the nucleus?

It lacks a nuclear localization signal (NLS).

Explanation:

The molecules can be transported by diffusion or active transport depending on the molecular weight and the type of substance that needs to be transported.

The nuclear localization signal is required fir the transport of any substance into the nucleus. The heavy substance that cannot be directly transported to the nucleus require the nuclear localization signal. The protein that cannot be translocated into the nucleus means that the nuclear localization signal is absent in this protein.

Thus, the answer is it lacks a nuclear localization signal (NLS).