Яeg's "I love animals and drawing" is essentially a shortened (ellipted) form of "I love animals and I love drawing". "I love A and I love B", where A and B are noun groups / -ing forms, is often ellipted to 'I love A and B'.
"I love to run and I love to jump" is of the form ""I love to X and I love to Y". This form is also often ellipted: "I love to run and to jump" or even "I love to run and jump" - though note that the omission of the second 'to' 'binds' the verbs more closely: 'running and jumping' is being bracketed as a composite activity, whereas with "to run and to jump", we're considering two separate activities.
But you can't omit the first 'to'.
We wouldn't try to coordinate "I love A and to X", so your "I love animals and to draw" would not be considered normal English.
Even then, there are semantic constraints: the following sound ridiculous even though their grammatical structures are not wrong:
"I love daydreaming and scorpions."
"I love to run and to investigate the secondary structure of proteins".