Marketing a private practice is not unethical. The restrictions concern specific practices such as soliciting testimonials, making outcome guarantees, and certain self-disclosure. Describing who you serve, your training and how you work is both permitted and necessary for clients to find care.
No. Marketing a private practice is both permitted and necessary, since clients cannot access care from a provider they cannot find.
The discomfort many clinicians feel is understandable but usually misplaced. What ethics codes restrict is specific practices, not visibility itself. The commonly restricted areas include soliciting testimonials from clients, making guarantees about outcomes, certain forms of self-disclosure, and anything that could exploit the power differential in the therapeutic relationship.
What is clearly appropriate:
Confirm the specifics with your own board and association. Requirements differ by license type and jurisdiction, and this answer is a general framing rather than guidance on any particular code.
The reframe that helps most clinicians: marketing a practice well is mostly the work of being clear about who you help, which is the same clarity that makes for a good referral and a good first session.