In LIX, the best thing that can explain this short paragraph is this part of Suzuki's introduction:
The Buddha's love is not something ego-centered. It is a will-force which desires and acts in the realm of twofold egolessness, it is above the dualism of being and non-being, it rises from a heart of non-discrimination, it manifests itself in the conduct of purposelessness (anabhogacarya).
Said the Blessed One: when the egolessness of things as well as of persons is understood, when the knowledge of the twofold hindrance is thoroughly taken hold of, when the twofold death (cyuti) is accomplished, and when the twofold group of passions is destroyed, there, Mahamati, is the Buddha-nature of the Buddhas and the Blessed Ones.
In LX the following question is addressed:
According to what deeper sense2 did you make this announcement before the congregation, that "I am all the Buddhas of the past," and that "I have gone through many a birth in varieties of forms, being thus at times the king Mandhatri, Elephant, Parrot, Indra, Vyasa, Sunetra, and other beings in my one hundred thousand births?"
The footnote explains that this "deeper sense" only is a term of reference in the Lankavatara. The point of this section is to say that the aspects of the Buddha are echoed by many, and these aspects are found from the teachings and behavior, including the behavior of embodiment of nonduality.